Nhich number line represents the solutions to |x + 4| = 2?

Answer:

I'm guess that the parentheses looking sign means absolute value so the answer should be the first choice. (-6, and -2)

Step-by-step explanation:

-6 plus 4 = -2 but since we are doing absolute value then the absolute value of -2 is 2.

-2 plus 4 = 2 So, this is also correct because the answer is 2.

Hope this helps! :)

The solution is represented by  the first number line, which has the solutions x=-6 and x=-2.

A number line is a pictorial representation of numbers on a straight line. In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.

here, we have,

We have an absolute value function for the equation.

This means that we should have two different solution in the real number line.

As the equation is

|x + 4| = 2

when we clear out the absolute value, we will have two possible solutions:

x + 4 = 2

and

-(x + 4) = 2

now we clear x from both equations

x + 4 = 2 ⇒ x = -2

-(x + 4) = 2 ⇒ x = -6

Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.

To learn more on number line click:

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