Question

Which inequality has -25 in its solution set?y +11 >-9Oy - 17 < -46* 30 < y +5O y +20 > -30

Answer 1

Explanation:

Solving each inequality we have:

$\begin{gathered} y+11>-9 \\ y>-9-11 \\ y>-20 \end{gathered}$

-25 is less than -20 so it's not in the solution set.

$\begin{gathered} y-17<-46 \\ y<-46+17 \\ y<-29 \end{gathered}$

-25 is greater than -29 so it is not in the solution set of this inequality.

$\begin{gathered} 3025 \end{gathered}$

-25 is less than 25, so it's not in the solution set of this inequality

$\begin{gathered} y+20>-30 \\ y>-30-20 \\ y>-50 \end{gathered}$

-25 is greater than -50 so it is in the solution set.

Answer:

The inequality that has -25 in its solution set is y + 20 > -30