Question

Kuta Software - Infinite Algebra 2 Compound Inequalities Solve each compound inequality and graph its solution. 1) n +13-3 or -4n

Answer 1

ANSWER:

$n\leq-4\text{ or }n>2$

STEP-BY-STEP EXPLANATION:

We have the following compound inequality

$n+1\leq-3\text{ or }-4n<-8$

solving por n

$\begin{gathered} n+1\leq-3\text{ } \\ n+1-1\leq-3-1 \\ n\leq-4 \\ \\ -4n<8 \\ n>\frac{8}{-4} \\ n>2 \\ \\ \text{ we combine and we have} \\ n\leq-4\text{ or }n>2 \\ (-\infty,-4\rbrack\cup(2,\infty) \end{gathered}$

The graph is: