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

$\begin{gathered} -\frac{30}{9}\le\frac{9x}{9}\le\frac{18}{9} \\ \\ -\frac{10}{3}\le x\le2 \end{gathered}$

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

Graph

solution is the red zone