The absolute value |x| measures the distance from zero
so it is never negative. For a positive number a
we use these rules:
Equation
Solution
|x| = a, where a > 0
x = a or x = −a
|x| = 0
x = 0
|x| = a, where a < 0
No solution
When the absolute value of a linear expression equals a number, write two cases: the expression equals the number, and the expression equals the negative of the number.
Solve each case separately.
Solving Equations and Inequalities · 1 / 6
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