The problem asks us to solve the inequality $99 < y + 95$ and graph the solution on a number line.

AlgebraInequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

1. Problem Description

The problem asks us to solve the inequality 99<y+9599 < y + 95 and graph the solution on a number line.

2. Solution Steps

First, we solve the inequality for yy. To isolate yy, we subtract 95 from both sides of the inequality:
99<y+9599 < y + 95
9995<y+959599 - 95 < y + 95 - 95
4<y4 < y
This is equivalent to y>4y > 4.
Now, we need to graph the solution y>4y > 4 on the number line. Since yy is strictly greater than 4, we need an open circle at

4. The arrow will point to the right because $y$ can be any value greater than

4.

3. Final Answer

The solution to the inequality 99<y+9599 < y + 95 is y>4y > 4. The graph will have an open circle at 4 and an arrow pointing to the right.