Question

Which number line represents the solutions to –2|x| = –6?

A number line from negative 8 to 8 in increments of 1. Two points, one at negative 6 and one at negative 2.

A number line from negative 8 to 8 in increments of 1. Two points, one at negative 8 and one at negative 4.

A number line from negative 8 to 8 in increments of 1. Two points, one at negative 4 and one at 4.

A number line from negative 8 to 8 in increments of 1. Two points, one at negative 3 and one at 3.

Answer 1

Answer: The fourth number line represents the solutions to –2|x| = –6

Step-by-step explanation:

Given equation: -2|x|=-6

To solve the given equation, first divide -2 on both the sides, we get

x=-6/-2

x=3

Thus the absolute value of x=3

We know that the absolute value is the distance between a number and zero.

Therefore, the distance between x and zero is 3

Therefore, x=3 and -3

This solution is represented by the fourth number line .