Question

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

Answer 1

I believe the answer would be D.

Answer 2

Answer:

The correct option is 4.

Step-by-step explanation:

The given equation is

$-2|x|=-6$

Divide both sides by -2.

$\frac{-2|x|}{-2}=\frac{-6}{-2}$

$|x|=3$

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.