Question

question
solve for x and graph the solution on the number line below.
2≥x+9 or 20<x+9
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Solve the first inequality \(2\geq x + 9\)

Subtract 9 from both sides: \(2-9\geq x+9 - 9\), so \(x\leq - 7\).

Step2: Solve the second inequality \(20\lt x + 9\)

Subtract 9 from both sides: \(20-9\lt x+9 - 9\), so \(x\gt11\).

Answer:

Inequality Notation: \(x\leq - 7\) or \(x\gt11\)

For the number - line:

• Draw a closed circle at \(x = - 7\) (because the inequality is \(\leq\)) and shade to the left.
• Draw an open circle at \(x = 11\) (because the inequality is \(\gt\)) and shade to the right.