|x/2|

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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

• 0.5x < 10
• 0.5x < -10

Solve Equation 1 → 0.5x < 10

Divide each side of absolute value inequality 1 by 0.5

Keep our <

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 <

Solution to absolute value equation 2 is

x < -20