Question

solve for x and graph the solution on the number line below. 2 ≥ x + 9 or 11 ≤ x + 9

Explanation:

Step1: Solve the first inequality

Subtract 9 from both sides of \(2\geq x + 9\).
\(2-9\geq x+9 - 9\), which simplifies to \(x\leq - 7\).

Step2: Solve the second inequality

Subtract 9 from both sides of \(11\leq x + 9\).
\(11-9\leq x+9 - 9\), which simplifies to \(x\geq2\).

Answer:

The solution is \(x\leq - 7\) or \(x\geq2\). On the number line, we have a closed circle at \(-7\) and shade to the left, and a closed circle at \(2\) and shade to the right.