Question

solve for b and graph the solution.
b + 4 < 17 or b - 6 > 11
plot the endpoints. select an endpoint to change it from closed to open. select the middle o
a segment, ray, or line to delete it.

Explanation:

Step1: Solve \(b + 4<17\)

Subtract 4 from both sides:
\(b+4 - 4<17 - 4\)
\(b < 13\)

Step2: Solve \(b - 6>11\)

Add 6 to both sides:
\(b-6 + 6>11 + 6\)
\(b>17\)

For graphing:

• For \(b < 13\), we have an open - circle at \(b = 13\) (since the inequality is strict, \(b

eq13\)) and a ray pointing to the left.

• For \(b>17\), we have an open - circle at \(b = 17\) (since the inequality is strict, \(b

eq17\)) and a ray pointing to the right.

Answer:

The solution of the compound inequality is \(b < 13\) or \(b>17\). On the number - line, there is an open circle at \(13\) with a ray to the left and an open circle at \(17\) with a ray to the right.