Question

solve the inequality and graph the solution.
-1 ≤ b + 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.
save answer

Explanation:

Step1: Isolate the variable \( b \)

Subtract \( 5 \) from both sides of the inequality \( - 1\leq b + 5 \).

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Step2: Graph the solution

The inequality \( -6\leq b \) means \( b\geq - 6 \). On the number - line, we place a closed circle at \( -6 \) (because the inequality includes equality, i.e., \( b=-6 \) is part of the solution) and draw a ray to the right.

Answer:

The solution of the inequality is \( b\geq - 6 \). On the number - line, there is a closed circle at \( -6 \) and a ray extending to the right.