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Video: Solving Simple Absolute Value Equations

Kathryn Kingham

What is the solution set of the equation |𝑥| = 94?

00:54

Video Transcript

What is the solution set of the equation, the absolute value of π‘₯ equals 94?

Absolute value describes the distance of a number on the number line from zero. We can sketch a number line to see which values would be a distance of 94 from zero. The number 94 is 94 units away from zero on a number line. The number negative 94 is also 94 units from zero on a number line, which means that for the absolute value of π‘₯ equal to 94, π‘₯ is equal to 94 or negative 94.