Question

solve $x - 9 \geq - 2$ and graph the solution.
$x \geq 7$
$x \geq 7$
$x \leq 7$
$x \leq 7$

Explanation:

Step1: Solve the inequality

Given \(x - 9\geq - 2\). Add \(9\) to both sides of the inequality.
\(x-9 + 9\geq - 2+9\)
\(x\geq7\)

Step2: Analyze the graph

For the inequality \(x\geq7\), on the number - line, we use a closed circle at \(x = 7\) (because \(x = 7\) is included in the solution set, since the inequality is \(\geq\)) and the line extends to the right (because \(x\) is greater than or equal to \(7\)).

Answer:

The first option (the one with \(x\geq7\) and a closed - circle at \(7\) with the line going to the right) is correct.