Question

solve the inequality and graph the solution.
b + 2 > -2
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 \( b \)

Subtract \( 2 \) from both sides of the inequality \( b + 2> - 2 \).
Using the subtraction property of inequalities: \( b+2 - 2>-2 - 2 \).
Simplify to get \( b>-4 \).

Step2: Graph the solution

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

• The endpoint is at \( b=-4 \). Since the inequality is \( > \) (not \( \geq \)), the point at \( b = - 4 \) is an open circle.
• The solution set includes all numbers greater than \( - 4 \), so we draw a ray starting from the open circle at \( - 4 \) and extending to the right.

Answer:

The solution of the inequality \( b + 2> - 2 \) is \( b>-4 \). On the number - line, there is an open circle at \( - 4 \) and a ray extending to the right.