Question

Solve the compound inequality 6b < 24 or 4b + 12 > 4.

b < 4 or b > −2
b < 4 or b > 4
b < 4 or b > 2
b > 4 or b < −2

Answer 1

b is greater than 4 or be is less than -2

Answer 2

`1^o\ 6b \ \textless \ 24\ \ \ \ |divide\ both\ sides\ by\ 6\\\\\boxed{b \ \textless \ 4}\\\\2^o\ 4b+12 \ \textgreater \ 4\ \ \ \ |subtract\ 12\ from\ both\ sides\\\\4b \ \textgreater \ -8\ \ \ \ |divide\ both\ sdies\ by\ 4\\\\\boxed{b \ \textgreater \ -2}\\\\conclusion\ if\ 6b \ \textless \ 24\ or\ 4b+12 \ \textgreater \ 4\ therefore\ your\ answer:\ b\in\mathbb{R}\\\\if\ not\`