Question

Name Samantha cebolos Date 3/8/202 Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solse each inequality and graph its solution. 2) Ip+4158 1 onls 18 -12 -10 - - - belzaalila -8LPtube -2 -1 0 1 2 8 -BHL PLO

Answer 1

Let's begin by identifying key information given to us:

$\begin{gathered} |5x|\le10 \\ \Rightarrow5x\le10 \\ =\frac{5}{5}x\le\frac{10}{5} \\ =x\le2 \\ \\ OR \\ |5x|\le10 \\ \Rightarrow-5x\le10 \\ =\frac{-5}{-5}x\le\frac{10}{-5} \\ =x\le-2 \\ \\ \therefore x\le\pm2 \end{gathered}$

x is lesser than or equal to plus or minus 2

We will proceed to plot the graph