Question

solve for j and graph the solution.
\\( \frac { j + 17 } { 2 } < 5 \\) or \\( j + 20 \geq 19 \\)
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
a segment, ray, or line to delete it.

Explanation:

Step1: Solve the first inequality

Multiply both sides of \(\frac{j + 17}{2}<5\) by \(2\): \(j + 17<10\).
Subtract \(17\) from both sides: \(j<10 - 17\), so \(j<-7\).

Step2: Solve the second inequality

Subtract \(20\) from both sides of \(j + 20\geq19\): \(j\geq19 - 20\), so \(j\geq - 1\).

Answer:

The solution is \(j<-7\) or \(j\geq - 1\). On the number - line, for \(j<-7\), there is an open circle at \(-7\) and the line extends to the left. For \(j\geq - 1\), there is a closed circle at \(-1\) and the line extends to the right.