Given the compound inequality:
[tex]-44>-2x-8⩾-8[/tex]
Let's find the equivalent form of the inequality.
To find the equivalent form, let's simplify the inequality.
SInce it is a compund inequality, we are to seperate the inequalities.
Simplify the first two inequalities, then simplify the last two inequalities.
We have:
First two inequalities: -44 > -2x - 8
Last two inequalities: -2x - 8 ⩾ -8
Let's simplify both
[tex]\begin{gathered} -44>-2x-8 \\ \\ Rewrite\text{ the inequality and change the inequality sign:} \\ -2x-8<-44 \end{gathered}[/tex][tex]\begin{gathered} \text{Second inequality:} \\ -2x-8⩾-8 \\ \end{gathered}[/tex]
Therefore, the equivalent form is:
[tex]-2x-8<-44\text{ and -2x - 8 }⩾\text{ -8}[/tex]
ANSWER:
[tex]d.\text{ -2x - 8<-44 and -2x - 8 }⩾\text{ -8}[/tex]
