Question

Solve this inequality: 3q + 11 + 8q > 99.

Answer 1

3q+ 11+ 8q > 99
⇒ (3q+ 8q)+ 11 > 99 (combine like terms)
⇒ 11q > 99-11
⇒ 11q > 88
⇒ q > 88/11
⇒ q > 8

Final answer: q>8~

Answer 2

`3q + 11 + 8q \ \textgreater \ 99 \\ \\ 11q + 11 \ \textgreater \ 99 \\ \\ 11q \ \textgreater \ 99 - 11 \\ \\ 11q \ \textgreater \ 88 \\ \\ q \ \textgreater \ (88)/(11) \\ \\ q \ \textgreater \ 8 \\ \\ Answer: q \ \textgreater \ 8`