#### Answer

$x\leq7$ or $x\gt7$
$(-\infty,\infty)$

#### Work Step by Step

Solve each inequality.
$3x-7\leq14\longrightarrow$ add 7 to each side
$3x-7+7\leq14+7\longrightarrow$ add
$3x\leq21\longrightarrow$ divide each side by 3
$3x\div3\leq21\div3\longrightarrow$ divide
$x\leq7$
OR
$4x-8\gt20\longrightarrow$ add 8 to each side
$4x-8+8\gt20+8\longrightarrow$ add
$4x\gt28\longrightarrow$ divide each side by 4
$4x\div4\gt28\div4\longrightarrow$ divide
$x\gt7$
Since x can be less than 7, equal to 7, or greater than 7, the solution set for x is all real numbers.