Question

Kuta Software - Infinite Algebra 2 Compound Inequalities Solve each compound inequality and graph its solation. Sum Sonhecelles Due 2021 1)n + -3 or -4n

Answer 1

In order to solve a compound inequality, first we need to divide it in two inequalities.

7.

Solving this inequality, we have:

`\begin{gathered} -33\le-7n-12<-26 \\ \begin{cases}-33\le-7n-12 \\ -7n-12<-26\end{cases} \\ -33\le-7n-12 \\ -21\le-7n \\ 7n\le21 \\ n\le3 \\ \\ -7n-12<-26 \\ -7n<-14 \\ 7n>14 \\ n>2 \end{gathered}`

Graphing the inequalities n <=3 and n > 2, we have:

8.

`\begin{gathered} \begin{cases}9+2b<7 \\ 7-5b<-8\end{cases} \\ 9+2b<7 \\ 2b<-2 \\ b<-1 \\ \\ 7-5b<-8 \\ -5b<-15 \\ 5b>15 \\ b>5 \end{gathered}`

Graphing b < -1 or b > 5, we have: