Question

solve the inequality and graph the solution. 17 ≤ b + 13 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. submit

Explanation:

Step1: Isolate the variable \( b \)

Subtract \( 13 \) from both sides of the inequality \( 17\leq b + 13 \).
Using the subtraction property of inequalities \( 17-13\leq b+13 - 13 \).

Step2: Simplify the expression

Simplify \( 17 - 13\) and \(b+13 - 13\).
We get \(4\leq b\), which can be rewritten as \(b\geq4\).

Answer:

The solution of the inequality \(17\leq b + 13\) is \(b\geq4\). On the number - line, we plot a closed circle at \(4\) (because the inequality includes equality, i.e., \(b = 4\) is part of the solution) and draw a ray to the right of \(4\) (since \(b\) can be any number greater than \(4\) as well).