Question

Solve the inequality. Graph and check your solutions.
y-7>-16

Answer 1

To solve the inequality, we will isolate the variable "y" on one side of the inequality sign.

First, we will add 7 to both sides of the inequality:

y - 7 + 7 > -16 + 7

Simplifying, we have:

y > -9

To graph the solution on a number line, we plot an open circle at -9 and shade the region to the right, as the inequality is "greater than."

-9|
|
------|---------------->
|_________________

Next, we can check the solution. For example, if we substitute y = -8 into the original inequality:

(-8) - 7 > -16

-15 > -16

This is true, so the solution is confirmed. All values greater than -9 will satisfy the inequality.