Question

Solve the compound inequality 6b < 42 or 4b + 12 > 8

Answer 1

\(\Large 6b < 42\Rightarrow b<\frac{42}{6}\Rightarrow b<7\) (1)
\(\Large 4b + 12 > 8 \Rightarrow 4b>8-12\Rightarrow 4b>-4\Rightarrow b>-1\) (2)
from (1) and (2): \(\Large -1<b<7\)