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question solve the inequality and graph the solution on the line provid…

Question

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

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

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

Answer:

Inequality Notation: $x\leq - 2$
For the number - line: Draw a number - line. Mark a closed circle at - 2 (because the inequality is $\leq$, so - 2 is included in the solution set) and shade the line to the left of - 2 to represent all the values of $x$ that satisfy the inequality.