Question

solve the inequality and graph the solution.
h - 2 < 5
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.

Explanation:

Step1: Isolate the variable \( h \)

Add \( 2 \) to both sides of the inequality \( h - 2<5 \).
Using the addition property of inequalities \( h-2 + 2<5 + 2 \).

Step2: Simplify

Simplify both sides. \( h<7 \).

To graph \( h < 7 \):

• On the number - line, place an open circle at \( 7 \) (because \( h = 7 \) is not included in the solution set, since the inequality is strict \( < \)).
• Draw a ray to the left of \( 7 \) (since \( h \) takes values less than \( 7 \)).

Answer:

The solution of the inequality \( h - 2<5 \) is \( h<7 \). On the number - line, there is an open circle at \( 7 \) and a ray extending to the left.