Answer
x≤7 or x>7
(−$\infty$, $\infty$)
Work Step by Step
Solve each inequality.
3x−7≤14⟶ add 7 to each side
3x−7+7≤14+7⟶ add
3x≤21⟶ divide each side by 3
3x÷3≤21÷3⟶ divide
x≤7
OR
4x−8>20⟶ add 8 to each side
4x−8+8>20+8⟶ add
4x>28⟶ divide each side by 4
4x÷4>28÷4⟶ divide
x>7
Since x can be less than 7, equal to 7, or greater than 7, the solution set for x is all real numbers.