Question

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

Answer 1

2|x| = -6
2*(-x) = -6
-2x = -6
2x = 6
x = 6/2
x = +3

2*(+x) = -6
2x = -6
x = -6/2
x = -3

S: {-3; +3}

Answer 2

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

Explanation:

Given equation:
`-2|x|=-6`

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

`|x|=(-6)/(-2)\\\Rightarrow|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 .