Question

question solve for x and graph the solution on the number line below. if possible, resolve your answer to a single inequality. in case of no solution (∅), leave the number line blank. x + 9 ≤ 16 or 20 < x + 9 answer attempt 1 out of 2 inequality notation: number line:

Explanation:

Step1: Solve the first - inequality

Subtract 9 from both sides of \(x + 9\leqslant16\), we get \(x\leqslant16 - 9\), so \(x\leqslant7\).

Step2: Solve the second - inequality

Subtract 9 from both sides of \(20\lt x + 9\), we get \(20-9\lt x\), so \(11\lt x\).

Step3: Combine the solutions

The original is an "or" compound - inequality, so the solution is \(x\leqslant7\) or \(x > 11\).

Answer:

\(x\leqslant7\) or \(x > 11\)