Question

Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. Name Sarmant Date 3/8/20221 1) lonlsi yg blant 2) [p+4158 -8 -6 -12-10 4 -3 -2 -1 0 1 2 3 4 xelzaaLaLa -8LP+468 3LLB -BEHLPL8-4 3) m-al 4) | 15xls 10 - - -3 -2 -1 = 3 +

Answer 1

`|6+9x|\le24`

this is the correct way to solve these types of exercises

then we will try to do the same where a is (6+9x) and b is 24

`|6+9x|\le24\longrightarrow-24\le6+9x\le24`

and solve the right inequality for x

`-24\le6+9x\le24`

subtract 6 for all expression

`\begin{gathered} -24-6\le6-6+9x\le24-6 \\ -30\le9x\le18 \end{gathered}`

now divide on 9

`\begin{gathered} -(30)/(9)\le(9x)/(9)\le(18)/(9) \\ \\ -(10)/(3)\le x\le2 \end{gathered}`

ok, this means that the x values ​​will be from -10/3 to 2 including these

Graph

solution is the red zone