Question

1. think about the inequality x + 2 > -1. circle the values of x makes this true?

Explanation:

Step1: Solve the inequality

$$\begin{align*} x + 2&>-1\\ x&>-1 - 2\\ x&>-3 \end{align*}$$

Step2: Check the values in the table

In the table, for \(x=-2\), \(x + 2=-2+2 = 0>-1\); for \(x =-\frac{1}{2}\), \(x + 2=-\frac{1}{2}+2=\frac{3}{2}>-1\); for \(x = 1\), \(x + 2=1 + 2=3>-1\); for \(x = 3\), \(x + 2=3+2 = 5>-1\); for \(x = 4\), \(x + 2=4+2=6>-1\); for \(x = 5\), \(x + 2=5+2 = 7>-1\).

Answer:

Circle the values \(x=-2\), \(x =-\frac{1}{2}\), \(x = 1\), \(x = 3\), \(x = 4\), \(x = 5\)