Given:
The inequality is,
[tex]-6(x+3)+10<-2[/tex]Explanation:
Simplify the inequality for x to determine the mistake.
[tex]\begin{gathered} -6(x+3)+10<-2 \\ -6x-18+10<-2 \\ -6x-8<-2 \\ -6x\cdot\frac{-1}{6}<6\cdot\frac{-1}{6} \\ x>-1 \end{gathered}[/tex]When inequality is multiplied with negative number, then inequality sign changes. But Irene did not change the inequality sign after multiplication with negative number. So Irene made mistake from step 4 to step 5.
Answer: From step 4 to step 5