Compare solving equations using addition with solving inequalities using addition

Answers

Answer 1

Answer:

give picture

Step-by-step explanation:

Answer 2

Solving inequalities with addition is similar to solving equations with addition in the initial steps, but it differs in the final answer due to the inequality sign. In both cases, you use addition to isolate the variable. However, with inequalities, you must consider the direction of the sign throughout the process.

When solving inequalities with addition, like equations, the goal is to isolate the variable on one side. You use addition to simplify the expression. Begin by treating the inequality like an equation, adding or subtracting the same value to both sides to eliminate constants and isolate the variable.

For example, if you have [tex]\(2x + 5 > 10\)[/tex], subtract 5 from both sides to get [tex]\(2x > 5\)[/tex].

Here's where it diverges: since inequalities involve the relationship between two quantities, you need to be mindful of the inequality sign. When you multiply or divide both sides by a negative number, the inequality direction flips.

For example, if you multiply [tex]\(x < 3\)[/tex] by -2, the sign changes to [tex]\(x > -6\)[/tex].

Remember, you're looking for a range of values that satisfy the inequality. So, when representing your final answer, use the appropriate inequality sign. For instance, if [tex]\(3x + 2 \leq 8\)[/tex], after simplifying, you'll have [tex]\(x \leq 2\)[/tex], indicating that any value of [tex]\(x\)[/tex] less than or equal to 2 satisfies the inequality.

In summary, while solving inequalities with addition is akin to solving equations with addition in the initial steps, the crucial distinction lies in managing the inequality sign throughout the process and representing the solution as a range of values that satisfy the inequality.

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Complete Question:

How is solving inequalities with addition is similar to or different from solving equations with addition ?


Related Questions

What is 30 divided by 4? Show your work and explain.

Answers

Answer:

7.5

30

÷

4

__

7.5

4×6=24

4×7= 28

4×8= 32

4×8= X

4×7.5= 30

211-0 + (-71-9)
.
Simplify
0 0
-3,12
-3
0 -3
DONE

Answers

Answer:

-3, -

Step-by-step explanation:

 I took the test

cancelout the v^-6

21/-7

-3

Answer:

Step-by-step explanation:

[tex]\dfrac{21y^{-6}}{-7y^{-6}}= (-3) *y^{-6 -[-6]} = (-3)*y^{6+6}=-3*y^{0} = -3*1 = -3[/tex]

10 yd
5 yd
7 yd
2 yd
Perimeter:
Area:

Answers

Answer:

p= 24

a=50

Step-by-step explanation:

p= rectangle l+b+l+b or square l+l+l+l

a= rectangle lxb or square lxl

how do you solve y=x+12 y=-18

Answers

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Alicia has 7 paintings she wants to hang side by side on her wall.
2. If Alicia only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.
3. In how many ways can Alicia arrange 4 out of the 7 paintings? Show your work.

Answers

The question is an illustration of permutation and combinations.

The number of ways she can choose 4 out of the 7 paintings is 35The number of ways she can arrange 4 out of the 7 paintings is 840

The given parameters are:

[tex]\mathbf{n = 7}[/tex]

[tex]\mathbf{r = 4}[/tex]

(a) Choose 4 of 7 paintings

Choosing 4 of 7 paintings implies combination.

So, we have:

[tex]\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}[/tex]

[tex]\mathbf{^7C_4 = \frac{7!}{3!4!}}[/tex]

Expand

[tex]\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}[/tex]

[tex]\mathbf{^7C_4 = 35}[/tex]

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

(b) Arrange 4 of 7 paintings

Arranging 4 of 7 paintings implies permutation.

So, we have:

[tex]\mathbf{^nP_r = \frac{n!}{(n - r)!}}[/tex]

Substitute values for n and r

[tex]\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}[/tex]

[tex]\mathbf{^7P_4 = \frac{7!}{3!}}[/tex]

Expand

[tex]\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}[/tex]

[tex]\mathbf{^7P_4 = 840}[/tex]

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

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Jalil mixed cup of water with cups of sugar. How many more cups of water than sugar did he use in his mixture?


the question has no numbers what do i do

Answers

Answer:

[tex]1\frac{11}{24}[/tex] cups more water than sugar

Step-by-step explanation:

Question: Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture.

Answer:

Jalil mixed the number of cups of sugar =  [tex]\frac{3}{8}[/tex]

with the number of cups of water =  [tex]\frac{11}{6}[/tex]

We have to find the additional amount of water that is used in his mixture.

So we will subtract the amount of sugar from the amount of water.

[tex]\frac{11}{6}[/tex]- [tex]\frac{3}{8}[/tex]

= [tex]\frac{44-9}{24}[/tex]

= [tex]\frac{35}{24}[/tex]

=  [tex]1\frac{11}{24}[/tex] cups

[tex]1\frac{11}{24}[/tex] cups more water is used in this mixture.

4х +4y +z= 24
2x – 4у +z= 0
- 3х + 6z =- 12

Answers

Answer:

4х +4y +z= 24 Correct

2x – 4у +z= 0 Correct

- 3х + 6z =- 12 Correct

Step-by-step explanation: I hoped I helped you yo.

PLEASE HELP ME I DONT GET THIS..​

Answers

I’m also doing my homework but just search how to solve for an area of a circle :) I’m 100% sure it will help
Hi so it's ask for area of circle an you know that formula for area of circle is πr2 r (radius)What is π? We have two formula π which is 22/7 or 3.142.So for this question i will use 22/7.If you look at question 2,4 and 6 you can see the diameter which line straight to the circumference. That's call diameter. But in the formula it want r which mean radius. So the diameter÷2

Hopes this help

a scarf is made of 65% cotton.If the scarf weighs 18 ounces,then how much cotton is in the scarf( STEPS PLEASEE)

Answers

Answer: 11.7 ounces

Step-by-step explanation:

65% of 18 is:

0.65*18=11.7

Therefore, the answer is 11.7 ounces.

Answer:

There are 11.7 oz of cotton in this scarf.

Step-by-step explanation:

The scarf weighs 18 oz.  We are told that 65% of the makeup of the scarf is cotton.  To determine how much cotton is in the scarf, we multiply the scarf's full weight, 18 oz, by 0.65 (0.65 is the decimal fraction equivalent of 65%):

0.65(18 oz) = 11.7 oz

There are 11.7 oz of cotton in this scarf.

Express the interval shown on the number line in inequality notation.
G
T-
10 12
-12
-6
6
-10
8
-8
-2 0
24
-4
A
U
>>
Al
00
IA
00
or
D.
[]
(,) || ()
I
Inequality Notation:

Answers

Answer:

Umm Where's The Answer?

Please answer this question

Answers

Answer:

it is C

Step-by-step explanation:

please help

The Finance Committee: Nine members of a finance committee could not get together for an emergency meeting. However, during the next three days, each member talked to each other member on the telephone. What is the minimum number of phone calls needed to accomplish this?

The Merry-Go-Round: On a merry-go-round, 12 horses are evenly spaced on the outside perimeter. It takes four seconds for the fourth horse to reach Abe,starting when the first horse is opposite him. How long will it take the merry-go-round to go around once?

Answers

Answer:

1) How does "Abe" relate to the merry-go-round? (The problem doesn't seem to say.)

2) How many people did each person provide for? So how many dozens were brought? How many are in a dozen? So how many cookies were brought?

Step-by-step explanation:

nm the top

There are n seats on a merry- go-round. A boy takes n rides. Between each ride, he moves clockwise a certain number of places to a new horse. Each time he moves a different number of places. Find all n for which the boy ends up riding each horse.

2) So if there are n horses, first the boy could move by one place then he could move by n+1 places then by 2n+1 so on and so forth, until he moves (n−2)n+1 places, in which case he'd would have been ridden each horse only one time and taken unique number of steps, which implies that all n's satisfy given condition.

1) I don't know how to cancer this let me resheerch and ill get back to you

P>S let this be help only if you need to annotate or reword thx

Help out pleassseeeeeee

Answers

Step-by-step explanation:

bro, MO bisects into 2 equal halves. ..

so, there will be

Angle AMO is equal to angle BMO.__(A)

MO is common side ___( S)

Angle AOM is equal to angle MOB___(A)

hence ,

∆AMO is congrent to ∆BMO

hence proved

In a school annual Day 60 students involved is Science Exhibition, 75 involved in Mathematics Exhibition, 20 involved in both Exhibitions, and the rest of 285 students are not involved in any exhibition. Illustrate the above information in a Venn- diagrom. How many students took part in Schools Annual Day? How many of them involved in only one exhibition ?​

Answers

Answer:

440 man its so easy just add up all the numbers

Step-by-step explanation:

440

Answer:

1) See the explanation

2) 400 Students

3) 95 Students

Step-by-step explanation:

1) As can be known from the question

Then, draw the venn diagram according to the known conditions.

2) 60 + 75 - 20 = 115 { Draw a venn diagram to calculate }

115 + 285 = 400

3) 60 - 20 + 75 - 20 = 95 ( Draw a venn diagram to calculate }

hello can anyone please help with this.
Selina takes 1 and a half hours to cycle 12 miles.
What is her average cycling speed?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Given terms :

Distance covered (d) = 12 miles

Time taken (t) = 1.5 hour

Average speed :

[tex]v = \dfrac{d}{t} [/tex]

[tex]v = \dfrac{12}{1.5} [/tex]

[tex]v = 8 \: \ \: mph[/tex]

average speed = 8 mph

Answer:

8mph

Speed= Distance/Time

12/1.5= 8mph

Alan has forgotten his 4-digit PIN code.He knows it begins with a 6 and the 4 digits make an even number.How many different sets of 4 digits could it be?

Answers

Answer:

500.

Step-by-step explanation:

The last digit must end with 0, 2, 4, 6, 8   for the Pin code to be even.

The middle 2 digits may be any numbers.

So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.

So  as there are 5 possible last digits , the total  possible sets of digits

= 5 * 100

= 500.

You went grocery shopping with $40.65. You left the
store with $5.10. Write an equation you can use to find
the cost c of the groceries.
C

Answers

Answer:

$40.65 - c = $5.10

Step-by-step explanation: You will subtract $5.10 from both sides to get the answer to C

The cost of the groceries is $35.55.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount = $40.65

Amount left = $5.10

The equation for the cost of groceries C.

40.65 - C = 5.10

Solve for C.

40.65 - 5.10 = C

C = 35.55

Thus,

The cost of the groceries is $35.55.

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A. Annie is correct. Keegan did not regroup properly. B. Keegan is correct. Annie did not regroup properly. C. Keegan is correct. Annie did not line up the decimals correctly. D. Annie is correct. Keegan did not line up the decimals correctly.​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is C

Keegan is correct, Annie didn't line up the decimals correctly.

The dinner check for Lee's family was $79.30. Estimate a 15% tip.

Answers

Answer:

$11.90

Step-by-step explanation:

79.30 times 0.15

Answer:

The answer is 11.895. That's the exact answer.

Step-by-step explanation:

Original price X Discount %

HEY I RLLLLLLY NEED HELP! 50 POINTS AND BRAINLIEST IS YOU'RE RIGHT!!!!

If
f(x) = 2x + 1
and
g(x) = x - 3

g(f(x)) = 2x + ????

I will report if you answer just for points. I'd love help please :P

Answers

Answer:

g(f(x)) = 2x - 2

Step-by-step explanation:

Given:

f(x) = 2x + 1

and

g(x) = x - 3

Find g(f(x)), substitute the value of f(x) into equation:

g(f(x)) = g(2x + 1) = (2x + 1) - 3 = 2x - 2

pleases help me! with my math hw!!! please do 2-26 evens only!!!! thx!! will give brainliest and extra points!!

Answers

I can’t read some of the questions but I got some.
4. 8*12=96 eggs
5. D
6. 190mm
7. 1/6 of a circle is shaded so 16.67%
8. 290
9. 500+2=502
10. 4700=(4*10^3)+(7*10^3)
23. 1240+186=1426
25. time would be 11:59 pm

Identify the subsets of real numbers of which 8 is a member. ( helps pls ^-^ )

Answers

The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.

8 is an a integer, a whole number and a rational number.

Hope this helps,

if so mark brainliest...

Which shows where the function is decreasing?
O A only
O Conly
O C and D
O A and C

Answers

Answer is C only. When you increase X, the f(x) is going downwards.

If you pay $43 for a set of Pokémon cards online that were listed for $40 what is the tax percent you were charged

Answers

Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

answer pls for 30 points and brainliest​

Answers

Answer:

your answer will be letter B

Step-by-step explanation:

long divison divide 664 and 1600

Answers

Answer:

272, remainder 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.41

I got a very long number but then I rounded to the nearest hundreth

Please tell me the answer by process​

Answers

Answer:

1680/10= 168

168/2= 84

84 is the answer

Step-by-step explanation:

1680/10 bc u have to get rid of the volume height and that leaves two bases

168/2 bc u only need one side NOT two bc of the book covers one base not two

Answer my question
Please I need it right away

Answers

Answer:

the mean of the data is 13, so the result is given by the sum of all data (11+12+13+14+15) and divided by 5

WHAT IS THE MEASURE OF ANGLE #5

WHAT IS THE MEASURE OF ANGLE #6

WHAT IS THE MEASURE OF ANGLE #7

WHAT IS THE MEASURE OF ANGLE #8

Answers

Answer:

5)42º

6)112º

7)112º

8)38º

Step-by-step explanation:

m<6         180-68=112

m<5         180=26+112+x            42=x

m<7 is congruent to m<6

m<8         180=30+112+x            38=x

Please help with this linear equation question. Image Attached.

Answers

There is no image, and without the image, no answer.

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