#### Answer

{x | x21}

#### Work Step by Step

2|x−7|>28⟶ divide each side by 2
2|x−7|÷2>28÷2⟶ divide
|x−7|>14⟶ write a compound inequality using the definition of absolute values
x−714⟶ solve each inequality
x−714⟶ add 7 to each side
x−7+7>14+7⟶ add
x>21
A compound inequality joined by OR is the union of the two solution sets.