Question

solve for x and graph the solution on the number line below.
\\( \frac{x}{-2} \geq -3 \\)

Explanation:

Step1: Multiply both sides by -2

When multiplying or dividing an inequality by a negative number, the direction of the inequality sign flips. So we have:
$$\frac{x}{-2} \times (-2) \leq -3 \times (-2)$$

Step2: Simplify both sides

Simplifying the left side gives \(x\), and simplifying the right side gives \(6\). So we get:
$$x \leq 6$$

Answer:

The solution for \(x\) is \(x \leq 6\). To graph this on a number line, we draw a closed circle at \(6\) (since the inequality is "less than or equal to") and shade the line to the left of \(6\) to represent all values of \(x\) that satisfy the inequality.