|x/2|

Enter Equation or Inequality


Solve for x in the inequality |0.5x| < 10

Since this is an absolute value inequality, we need to setup two inequalities

Solve Equation 1 → 0.5x < 10
Divide each side of absolute value inequality 1 by 0.5
0.5x
0.5
<
10
0.5

Solution to absolute value equation 1 is
x < 20

Solve Equation 2 → 0.5x < -10
Divide each side of absolute value inequality 2 by 0.5
0.5x
0.5
<
-10
0.5

Solution to absolute value equation 2 is
x < -20