Question

f.7 graph solutions to one - step linear inequalities e2z
solve the inequality and graph the solution.
p - 2 < 7
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
<--|--|--|--|--|--|--|--|--|--|--|-->
0 1 2 3 4 5 6 7 8 9 10

Explanation:

Step1: Isolate the variable p

Add 2 to both sides of the inequality $p - 2<7$. So, $p-2 + 2<7 + 2$.

Step2: Simplify the inequality

We get $p<9$.

Answer:

The solution of the inequality is $p<9$. On the number - line, we use an open - circle at 9 (since 9 is not included in the solution) and draw a ray to the left of 9.