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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. -2x +…

Question

solve the inequality and graph the solution on the line provided. -2x + 73 ≥ 77 answer attempt 1 out of 2 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 touch and drag to plot line. submit answer

Explanation:

Step1: Subtract 73 from both sides

$-2x+73 - 73\geq77 - 73$
$-2x\geq4$

Step2: Divide both sides by -2 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips. So $\frac{-2x}{-2}\leq\frac{4}{-2}$
$x\leq - 2$

Answer:

Inequality Notation: $x\leq - 2$
Number Line: Plot a closed - circle at - 2 (because the inequality is $\leq$) and draw a line to the left of - 2.