Question

solve the inequality and graph the solution. x - 5 ≥ - 7. choose the correct graph below.

Explanation:

Step1: Solve the inequality

Add 5 to both sides of \(x - 5\geq - 7\). We get \(x-5 + 5\geq-7 + 5\), which simplifies to \(x\geq - 2\).

Step2: Analyze the graph

A closed - circle is used for \(\geq\) or \(\leq\) and an open - circle is used for \(>\) or \(<\). Since \(x\geq - 2\), we have a closed - circle at \(x=-2\) and the line extends to the right (towards larger values of \(x\)).

Answer:

A. A number line with a closed - circle at - 2 and an arrow pointing to the right.