Question

solve for x. your answer must be simplified. \\(\frac{x}{-9} \geq 3\\)

Explanation:

Step1: Multiply both sides by -9

When multiplying or dividing an inequality by a negative number, the direction of the inequality sign flips. So we have \(\frac{x}{-9} \times (-9) \leq 3 \times (-9)\) (note the inequality sign flips from \(\geq\) to \(\leq\) because we multiplied by -9).

Step2: Simplify both sides

Simplifying the left side gives \(x\), and simplifying the right side gives \(3\times(-9)= -27\). So \(x \leq -27\).

Answer:

\(x \leq -27\)