Question

Date 319 Name Soronthace Name Sam Solve each inequality and graph its solution. Kuta Software - Infinite Algebra 2 Absolute Value Inequalities 1 lansis 872- 78 Abu -32123 3) m-21

Answer 1

No solution

Step-by-step explanation

To solve this first we have to clear the absolute value part.

First add 10 to both sides:

`\begin{gathered} 9|r-2|-10+10<-73+10 \\ 9|r-2|<-63 \end{gathered}`

And divide both sides by 9:

`\begin{gathered} (9|r-2|)/(9)<-(63)/(9) \\ |r-2|<-7 \end{gathered}`

There's no solution to this inequality because the absolute value is always positive and this inequality states that the absolute value is less than a negative number. Therefore there's no solution and there's nothing to graph.