Question

solve for $x$ and graph the solution on the number line below.
$2\geq x + 9$ or $20\lt x + 9$
answer attempt 1 out of 3
$\lt\gt\leq\geq$ or
inequality notation:
number line:

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 \(20\lt x + 9\).
\(20-9\lt x+9 - 9\), which simplifies to \(x\gt11\).

Answer:

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

For the number - line:

• For \(x\leq - 7\), we draw a closed circle at \(-7\) (because the inequality includes equality) and an arrow to the left.
• For \(x\gt11\), we draw an open circle at \(11\) (because the inequality does not include equality) and an arrow to the right.