Answer:
The correct option is 4.
Step-by-step explanation:
The given equation is
[tex]-2|x|=-6[/tex]
Divide both sides by -2.
[tex]\frac{-2|x|}{-2}=\frac{-6}{-2}[/tex]
[tex]|x|=3[/tex]
The absolute value of x is 3. It means the value if is either 3 or -3.
[tex]x=\pm3[/tex] [tex][\because |x|=a\Rightarrow x=\pm a][/tex]
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.
