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

Mathematics · High School · Tue Nov 03 2020

Answered on

Given: 

-2 |x| = -6

Determine the number line that represents the equation.

Solution:

Divide both sides by -2 in order to cancel out -2 |x|.

-2 | x | = -6

| x | =3

Absolute value sign means that the number will always be equal to the original positive number, hence we can assume that the value of x will only be positive 3, and it will lie on the point x = 3 on the graph.

Final answer:

x = 3

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