Question

in exercises 23 - 30, graph the inequality. (see example 3.) 23. $xgeq2$ 25. $- 1>t$

Explanation:

Step1: Graph \(x\geq2\)

1. On a number - line, mark the point \(x = 2\). Since the inequality is \(\geq\), use a closed circle at \(x=2\) to indicate that \(x = 2\) is included in the solution set.
2. Shade the number - line to the right of \(x = 2\) because all values of \(x\) greater than \(2\) also satisfy the inequality.

Step2: Graph \(-1>t\) (or \(t < - 1\))

1. On a number - line, mark the point \(t=-1\). Since the inequality is \(<\), use an open circle at \(t = - 1\) to indicate that \(t=-1\) is not included in the solution set.
2. Shade the number - line to the left of \(t=-1\) because all values of \(t\) less than \(-1\) satisfy the inequality.

Answer:

For \(x\geq2\): Mark a closed circle at \(x = 2\) and shade to the right. For \(t < - 1\): Mark an open circle at \(t=-1\) and shade to the left.