Questions: Solve for x and graph the solution on the number line below. -3 ≥ x / -2

Solve for x and graph the solution on the number line below. -3 ≥ x / -2
Transcript text: Solve for $x$ and graph the solution on the number line below. \[ -3 \geq \frac{x}{-2} \]
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Solution

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Solution Steps

Step 1: Multiply both sides by -2

When multiplying or dividing both sides of an inequality by a negative number, the inequality sign flips.

-3 ≥ x/-2 -3 * -2 ≤ x 6 ≤ x or x ≥ 6

Step 2: Graph the solution on the number line

Since x is greater than or equal to 6, we will have a closed circle at 6 and an arrow pointing to the right.

Final Answer

Inequality Notation: x ≥ 6 Number Line: A closed circle at 6 with an arrow extending to the right.

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