Question

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

Answer 1

I believe the answer would be D.

Answer 2

The correct option is 4.

Explanation:

The given equation is

`-2|x|=-6`

Divide both sides by -2.

`(-2|x|)/(-2)=(-6)/(-2)`

`|x|=3`

The absolute value of x is 3. It means the value if is either 3 or -3.

`x=\pm3`
`[\because |x|=a\Rightarrow x=\pm a]`

In the given figure the blue dot represent the solutions of the given equation.

Only option 4 represent the solution at x=3 and x=-3. Therefore the correct option is 4.