solve the inequality. write the solution set in interval notation.\n14 > -2x + 6 > -4\nthe solution set…
solve the inequality. write the solution set in interval notation.\n14 > -2x + 6 > -4\nthe solution set is\n(type your answer in interval notation.)
Answer
Explanation:
Step1: Subtract 6 from all parts
$$ \begin{align*} 14-6&>-2x + 6-6>-4 - 6\ 8&>-2x>-10 \end{align*} $$
Step2: Divide all parts by -2 (reverse inequalities)
$$ \begin{align*} \frac{8}{-2}&<\frac{-2x}{-2}<\frac{-10}{-2}\ -4&<x<5 \end{align*} $$
Answer:
$(-4,5)$