Question

solve the inequality and graph the solution.
h - 3 > 1
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 \( 3 \) to both sides of the inequality \( h - 3>1 \).
Using the addition property of inequalities: \( h-3 + 3>1 + 3 \).
Simplify to get \( h>4 \).

Step2: Graph the solution

For the inequality \( h>4 \), on the number - line:

• The endpoint is at \( h = 4 \). Since the inequality is strict (\( > \)), the point at \( h = 4 \) is open (not included in the solution set).
• The solution is all real numbers greater than \( 4 \), so we draw a ray starting at the open - circle at \( 4 \) and extending to the right (towards larger numbers).

Answer:

The solution of the inequality \( h - 3>1 \) is \( h>4 \). On the number - line, there is an open circle at \( 4 \) and a ray extending to the right.