1 Answer

Shankar Cabus · Answer 1 · 2023-12-21T11:17:32+0000

To solve the compound inequality we need to solve each inequality, then we have:

$\begin{gathered} 3x+5>23\text{ or }4x-4\leq0 \\ 3x>23-5\text{ or }4x\leq0+4 \\ 3x>18\text{ or }4x\leq4 \\ x>(18)/(3)\text{ or }x\leq(4)/(4) \\ x>6\text{ or }x\leq1 \end{gathered}$

Now we need to remember that the word OR means the union of the solution sets for each inequality then the solution is:

$(-\infty,1\rbrack\cup(6,\infty)$

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