Question

solve for x and graph the solution on the number line below. -3>\frac{x}{3} answer attempt 1 out of 2 < > \leq \geq 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: Multiply both sides by 3

Multiply both sides of the inequality \(-3>\frac{x}{3}\) by 3. According to the property of inequalities, when we multiply both sides of an inequality by a positive number, the direction of the inequality sign remains the same.

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Step2: Rewrite the inequality

The inequality \(-9 > x\) can be rewritten as \(x < - 9\)

Answer:

Inequality Notation: \(x < - 9\)
For the number - line: Place an open circle at \(-9\) (because the inequality is strict, \(x
eq - 9\)) and draw an arrow to the left of \(-9\) on the number - line.