Hey, I need help with solving this inequality. It is for Introductory Algebra (0308) TSI Review. I need to pass the TSI which is 20 to 45 questions long and I have failed it in the past a total of four times, please help me to understand this: -4<4-2x<6


Thanks So Much!

Answers

Answer 1
Hello!

This one is a little tricky, but easy once you split it into a couple of parts!

So you have your whole inequality:

-4<4-2x<6

Let’s break it into two parts right down the middle. This just makes it way easier to solve! Start with -4<4-2x

Now, solve for “x” in that simple inequality. Remember that the inequality acts just like an equal sign, except for when you divide or multiply by a negative number! Then you have to flip it around.

-4<4-2x

Subtract 4 from each side

-8<-2x

Now, divide by -2 on both sides to get x by itself. Remember you are dividing by a negative in this case, so you have to flip the inequality around once you finish!

4>x

You can rewrite that as x<4 (it means the same thing :)

Now, let’s do the other half of this inequality. We’re doing the same thing, just the other side!

4-2x<6

Solve for x! Subtract 4 from each side

-2x<2

Get x by itself by dividing by -2 on both sides. Remember to flip the inequality since it’s negative!

X>-1

Ok! You’ve solved both parts of this, now it’s time to piece it all together.

You know x is less than 4 based on the first step, but greater than negative one based on the second step! Therefore, you write:

-1
I hope this makes sense! If you have any questions, please let me know!

Related Questions

Triangle, parallelogram lies between same parallel lines.

True or False

Answers

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

please help. pleasee

Answers

Answer:

1st option

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] ( which can be used on more than 2 numbers )

Given

(- 7)² × [tex](-7)^{5}[/tex] × [tex](-7)^{-9}[/tex]

= [tex](-7)^{(2+5-9)}[/tex]

= [tex](-7)^{-2}[/tex]

I’ve been stuck on this for days pls help

Answers

Answer:

1120 inches squared

Step-by-step explanation:

change the 4 separate boxes into a single box with dimensions 10 by 12 by 20 (5+5+5+5=20) then find the surface area:

2(20*12 + 20*10 + 12*10)=2(240+200+120)=2*560=1120

please help with this!!!

Answers

Answer:

second option ∠C = 60 degrees

Step-by-step explanation:

To find the angle C

we know that the sum of all interior angles of triangle is 180

∠A + ∠B + ∠C = 180 (sum of interior angles)

90 + 30 + ∠C = 180

120 + ∠C= 180

∠C = 180 - 120

∠C = 60

Answer: B. 60

Concept:

Here, we need to know the idea of the triangle angle sum theorem.

The triangle angle sum theorem states that the sum of interior angles is 180 degrees.

Step-by-step explanation:

Given information

∠A = 90°

∠B = 30°

∠C = unknown

Given expression deducted from the triangle angle sum theorem

∠A + ∠B + ∠C = 180

Substitute values into the expression

90 + 30 + ∠C = 180

Combine like terms

120 + ∠C = 180

Subtract 120 on both sides

120 + ∠C - 120 = 180 - 120

∠C = [tex]\boxed{60}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

help help help help help

Answers

A little summary of the question:

The question has asked you to turn the shape 180° counterclockwise. that in simpler words means flipping the shape 2x right making a mirrored reflection of the shape.

Answer:

point J = (2,8)

point M = (2,9)

point L = (-6,9)

point K = (-6,8)

a. Find the value of sin2A, cos2A, tan2A and cot2A when sinA = 4/5 , cosA =4/5, tanA= 3/4 and cotA = 12/13​

Answers

Step-by-step explanation:

Given,

SinA = 4/5

CosA =4/5

TanA= 3/4

CotA = 12/13

Sin²A = SinA²

Cos²A = CosA²

Tan²A = TanA²

Cot²A = CotA²

Therefore,

Sin²A = (4/5)²

Cos²A = (4/5)²

Tan²A = (3/4)²

Cot²A = (12/13)²

Sin²A = 16/25

Cos²A = 16/25

Tan²A = 9/16

Cot²A = 144/169

Step-by-step explanation:

explanation is given in picture

A class is made up of 8 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses?

Answers

Answer:

1/6

Step-by-step explanation:

The total amount of people 8+4=12

there are 4/2=2 girls with glasses

the probability to chhose a girl with glasses is 2/12=1/6

(2x^3 y)^2

Im confused

Answers

Hopes this helps:

I thinks it’s right please correct me if it’s wrong.

Answer: 4x^6y^2

Have a great day.

Answer:

[tex]4x^6y^2[/tex]

Step-by-step explanation:

[tex]x^{m} *x^{n} = x^{m * n}[/tex]

2^2 = 4

(x^3)^2 = x ^3*2 = x^6

y^2 = y^2

If two lines intersect, they intersect at two different points.
is this statement true or false

Answers

Answer: False

If two lines intersect, then they intersect at one point only, so it makes no sense to mention a second point. This is assuming that we're not talking about two lines intersecting infinitely many times (i.e. one line overlapping another perfectly).

this is false because is 2 lines a straight and intersecting each other it is only possible for it to intersect one time.

So the statement is FALSE

What does X equal in this?​

Answers

Answer:

45

Step-by-step explanation:

∠FEC = ∠DEG (Vertically opposite angles)

=> x = 20+25=45

Using the segment addition postulate find the length of the segment EF

Answers

Answer:

10

Step-by-step explanation:

I'm pretty sure the segment addition postulate just means that if you add JK and KL together, you'll get the length of JL. Correct me if I'm wrong...

Anyways, JK = 3x - 4, and KL = 5x + 6. If we add these together, according to the segment addition postulate, we will get JL, which equals 9x - 8. So, we set up an equation:

3x - 4 + 5x + 6 = 9x - 8

Simplifying this equation, we get:

8x + 2 = 9x - 8

x = 10

So, our answer is 10.

(also you ask for segment EF but I don't see segment EF so I'm going to just answer the question in the picture)

kevin buys cornflakes for £1.40 and chocolate for £1.50 he makes cornflakes cakes he sells 10 for £1 each how much profit does he get

Answers

The answer is 1.10 because you have $90 you give away fifty

a mivie is 1 7/8 hours long after 45 minutes, how much of the movies is left

Answers

Replace the hours to minutes
1 7/8 * 60 = 112.5 minutes
112.5 - 45 = 67.5 minutes left
Or
67.5/60 = 1.125 hours left

What would the sum of the interior angles of a 14 sided shape be?
Select one:
O a. 360°
O b. 180°
O c. 14°
O d. 2,160°

Answers

Answer:

the sum of interior angles of a 14 sided shape be 2160

Answer:  D)  2160

Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

S = 180(14-2)

S = 180*12

S = 2160

How old is Aunt Sally if Jerome is 14 years old? Explain your thinking, how did you come up with your expression, how did you solve?

Answers

Answer:

Step-by-step explanation:

I don't get this question

what was the total number of hours worked on monday?

Answers

The answer is C because 3.75+4.75=8.50

How do I solve this? What is the Answer?

Answers

Answer:

LN = 37

Step-by-step explanation:

Let LM= 22 and MN= 15Solution:22 + 15 = 37LN = 37

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Which equation can be used to solve for x in the following diagram?

Answers

Answer:

semoga jawapan ini dapat membantu anda

Answer:

D

Step-by-step explanation:

anyone know how to solve these​

Answers

Answer:

Step-by-step explanation:

I have attached.

Math experts ONCE AGAIN :)
giving brainly!!

Answers

Answer:

A) $49

Step-by-step explanation:

There are two ways to solve this problem. You could either calculate the net change by adding up the values in the table and then adding that to the initial amount, or you could individually add every change in price to the initial amount. I'm going to go with the first way, as I find it to be quicker, but both methods work equally well.

We know that the stock was worth $52 on Monday morning. From the table, the net (or overall) change in the stock over the course of the week is:

-2 + 1 + 3 - 1 - 4 = -3

Therefore, the stock's price decreased by $3 over the week, and because the stock's original price was $52, we know it is now worth 52 - 3 = $49. Hope this helps!

there are 78.1 grams of carbon in a sample of 92.7 grams of octane. what is the percent of carbon within the sample of octane?

Answers

The percent  of carbon within the sample of octane is 84.25%

A percentage is a fraction of a total amount divided into hundred parts

The percent  of carbon within the sample of octane = (grams of carbon / grams of octane) x 100

(78.1 g / 92.7 g) x 100 = 84.25%

To learn more about percentages, please check : https://brainly.com/question/19179977?referrer=searchResults

The percent of carbon within the sample of octane in the exercise is:

84.25%

Calculation of percentages using the rule of three.

To make a calculation of the percentage of a sample, a simple rule of three can be used, where it is identified:  

92.7 g     →      100% 78.1 g      →        x

The octane sample is used as 100% since it is the total sample, while carbon is only a part of it, now we proceed to calculate:

[tex]x=\frac{78.1*100}{92.7}[/tex][tex]x=\frac{7810}{92.7}[/tex]x = 84.25026969x ≅ 84.25%

In this way, it can be identified that the percentage of carbon in the octane sample is approximately 84.25%.

If you want to see another exercise about percentages, you can visit the next link: https://brainly.com/question/6269728?referrer=searchResults

What is the simplified expression for -3(2x-y)+2y + 2(x+y)?
O 8x+y
O y-4x
O TY- 44
O -4x-y

Answers

Answer:

[tex] - 3(2x - y) + 2y + 2(x + y) \\ - 6x + 3y + 2y + 2x + 2y \\ = - 4x + 7y[/tex]

I hope I helped you^_^

Answer:Check the options well. My answer isn't in the options

Step-by-step explanation:

If I start at 6:05 and end at 3:30. How much time is that.

Isn’t is 2 hours and 25 minutes or 2 hours and 34 minutes?

Answers

Answer:

The answer is 9 hours and 25 minutes

Step-by-step explanation:

if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes

hope that helps>3

No it would be 9 hours and 25 minutes because it can’t be two hours since you started at 6:05 two hours later would be 8:05.

What’s the answer????

Answers

hey <3

negative exponentials can be written as a power of a fraction

for example, 4^-2 can be written as 1/(4^2)

thus, your answer would be 1/(5^2)

hope this helps :)

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]5^{-2}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]\frac{1}{25}[/tex]

What is 10% of a number whose square
is 81

Answers

Answer: 0.9

Step-by-step explanation:

Let x be the number

Determine the value of the number

x² = 81

√x² = √81

x = 9

Find the 10% of the number

Final number = rate of percentage × original number

Final number = 10% × 9

Final number = [tex]\boxed{0.9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

. Each of the following has 9 as a factor except
A) 18018 B) 18 081 C) 81 180
D) 81 181

Answers

Answer:

d

Step-by-step explanation:

81181÷9=9020.111111

every other number has a whole number as an answer not a decimal

Please help!!!!!!!!!

Answers

Answer:

D. 12.9 is the correct answer

I hope this helps!

PLS TELL ME HOW THIS TRICK WORKED!! I HAVE TO SUBMIT KT SOON!

Answers

Answer:

x=2

Step-by-step explanation:

let the unknown number be x

now we are to find x regarding the question as an equation, let's form the equation to solve for x

the interpretation of the question is:

(x² + x)/3 = x

by collecting the like terms:

(x²+ x) = 3x

x² + x = 3x

x² = 3x - x

x² = 2x

x = 2

Answer:

The number you thought to start with, X

Step-by-step explanation:

Magician's secret:

Step 1: Let the original number you thought of be X

Step 2: 2 × x = 2X

Step 3: 2X + X = 3X

Step 4: 3X/3

》X

Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )

= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )

= [tex]\frac{1}{3}[/tex]

a rectangular hall room is 12.25 metres in length and 7.75 metre in breadth. find the area of the rectangular hall room.

Answers

Answer:

Area= 94.9375

Step-by-step explanation:

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