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QUESTION IMAGE

solve for x and graph the solution on the number line below. 3 < x - 5 …

Question

solve for x and graph the solution on the number line below. 3 < x - 5 answer < > ≤ ≥ inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Isolate the variable x

Add 5 to both sides of the inequality $3 < x - 5$.
$3+5

Step2: Simplify the inequality

$8 < x$ or $x>8$

Answer:

Inequality Notation: $x > 8$
Number Line: On the number - line, draw an open circle at 8 (because 8 is not included in the solution set) and shade the line to the right of 8.