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solve the inequality for u. 20 ≥ -5u simplify your answer as much as po…

Question

solve the inequality for u.
20 ≥ -5u
simplify your answer as much as possible.

Explanation:

Step1: Divide both sides by -5

When dividing an inequality by a negative number, the direction of the inequality sign flips. So, divide both sides of \(20 \geq -5u\) by \(-5\):
\(\frac{20}{-5} \leq \frac{-5u}{-5}\)

Step2: Simplify both sides

Simplify the left side: \(\frac{20}{-5} = -4\). Simplify the right side: \(\frac{-5u}{-5} = u\). So we get \(-4 \leq u\), which can also be written as \(u \geq -4\).

Answer:

\(u \geq -4\)