|x/2|

Enter Equation or Inequality


  

Solve the following equation
|x/2|<10

Solve for x

|0.5x| < 10

Absolute Value Equations
Since this is an absolute value inequality
Setup two inequalities


Solve Equation 1 → 0.5x < 10

Divide each side of absolute value inequality 1 by 0.5

Keep our <
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

Keep our <
0.5x
0.5
<
  
-10
0.5

Solution to absolute value equation 2 is
x < -20