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

Question

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

Explanation:

Step1: Multiply both sides by -9

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

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:

\(x \leq -27\)