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