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