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QUESTION IMAGE

solve for x and graph the solution on the number line below. -31 > 5x +…

Question

solve for x and graph the solution on the number line below. -31 > 5x + 9 ≥ -41 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Isolate the variable - subtract 9 from all parts

$$ LATEXBLOCK0 $$

Step2: Solve for x - divide all parts by 5

$$ LATEXBLOCK1 $$

Answer:

Inequality Notation: $-10\leq x < - 8$
Number Line: Mark a closed - circle at $-10$ (because $x$ can equal $-10$), an open - circle at $-8$ (because $x$ cannot equal $-8$), and shade the region between them.