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QUESTION IMAGE

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

Question

solve for x and graph the solution on the number line below. 3 > -x - 3 > -5 answer attempt 1 out of 3 < > ≤ ≥ or inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 click and drag to plot line. submit answer

Explanation:

Step1: Add 3 to all parts

$3 + 3> -x-3 + 3> - 5+3$
$6>-x>-2$

Step2: Multiply all parts by -1 and reverse inequality signs

When multiplying an inequality by a negative number, the direction of the inequality signs changes. So, $-6 < x<2$

Answer:

Inequality Notation: $-6 < x<2$
(For graphing on the number - line, you would place open circles at - 6 and 2 and draw a line segment between them.)