10) $-2(b + 1) + 4 < 10$
10) $-2(b + 1) + 4 < 10$
Answer
Explanation:
Step1: Expand the left - hand side
$$ \begin{align*} -2(b + 1)+4&<10\ -2b-2 + 4&<10\ -2b+2&<10 \end{align*} $$
Step2: Subtract 2 from both sides
$$ \begin{align*} -2b+2-2&<10 - 2\ -2b&<8 \end{align*} $$
Step3: Divide both sides by - 2 (and reverse the inequality sign)
$$ \begin{align*} \frac{-2b}{-2}&>\frac{8}{-2}\ b&>-4 \end{align*} $$
Answer:
(b > - 4)