Answer:
y=1 for
![y\leq 1](https://img.qammunity.org/2019/formulas/mathematics/high-school/n6iyzg7lzppiob9m7p6hw56tvsbowum2qd.png)
Explanation:
We can solve an inequality much like we solve an equation. We will use inverse operations to isolate y. If we need to divide by a negative then we will need to flip the inequality.
![2y+9\leq 11\\2y+9-9\leq 11-9\\2y\leq 2\\(2y)/(2)\leq (2)/(2) \\y\leq 1](https://img.qammunity.org/2019/formulas/mathematics/high-school/nctkjwsxag9zs8zn4w6neasergp9f8vzwj.png)
First, we moved 9 across the equal sign to combine it with 11 by subtracting by 9 from both sides.
Second, we divided both sides by 2.
is the solution. All solutions equal to 1 and less than 1 will work.