Answer: The fourth number line represents the solutions to –2|x| = –6
Step-by-step explanation:
Given equation: \(-2|x|=-6\)
To solve the given equation, first divide -2 on both the sides, we get
\(|x|=\frac{-6}{-2}\\\Rightarrow|x|=3\)
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 .
