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erty of inequality 6 \\(\\frac{n}{-5} \\geq 2\\)

Question

erty of inequality 6 \\(\frac{n}{-5} \geq 2\\)

Explanation:

Step1: Multiply both sides by -5

When multiplying both sides of an inequality by a negative number, the direction of the inequality sign flips. So we have \(\frac{n}{-5} \times (-5) \leq 2 \times (-5)\) (note the inequality sign flips from \(\geq\) to \(\leq\) because we multiply by -5, a negative number).

Step2: Simplify both sides

Simplifying the left side, \(\frac{n}{-5} \times (-5)=n\). Simplifying the right side, \(2\times(-5) = - 10\). So we get \(n\leq - 10\).

Answer:

\(n\leq - 10\)