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

|–2x| = -6

=> 2x = 6  

=> x = 3 

and,

=> 2x = -6

=> x = -3.

Two points, one at negative 3 and one at 3.

Answer 2

The number line that represents -2|x| = -6 has two points, one at negative 3 and one at 3.

How to determine the number line?

The equation is given as:

-2|x| = -6

Divide both sides by -2

|x| = 3

Remove the absolute bracket

x = 3 or x= -3

This means that the number line that represents -2|x| = -6 has two points, one at negative 3 and one at 3.

Hence, the number line is (d)

Read more about number line at:

https://brainly.com/question/10851163

#SPJ2