Question

1. solve for s and graph the solution. 3 > s - 2 ≥ -1 2) 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 left - hand inequality

Add 2 to all parts of $3>s - 2\geq - 1$. For the left - hand side, $3>s - 2$ becomes $3+2>s-2 + 2$, so $5>s$.

Step2: Solve right - hand inequality

For the right - hand side, $s - 2\geq - 1$ becomes $s-2 + 2\geq - 1+2$, so $s\geq1$.

Step3: Graph the solution

The solution is $1\leq s<5$. On the number line, we use a closed circle at $s = 1$ (because $s$ can equal 1) and an open circle at $s = 5$ (because $s$ cannot equal 5), and draw a line segment between them.

Answer:

The solution of the inequality is $1\leq s<5$. On the number line, place a closed circle at 1 and an open circle at 5 and draw a line segment connecting them.