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QUESTION IMAGE

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

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

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

Step2: Solve the second inequality

Subtract 9 from both sides of $20$20-911$.

Step3: Combine the solutions

Since it is an "or" statement, the solution is $x\leq - 7$ or $x>11$.

Answer:

Inequality Notation: $x\leq - 7$ or $x>11$
Number Line: Shade to the left of - 7 (including - 7, use a closed - circle at - 7) and to the right of 11 (not including 11, use an open - circle at 11).