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solve the inequality for u. 10 > -2u simplify your answer as much as po…

Question

solve the inequality for u.
10 > -2u
simplify your answer as much as possible.

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(10 > -2u\) by \(-2\): \(\frac{10}{-2} < \frac{-2u}{-2}\)

Step2: Simplify both sides

Simplify the left side: \(\frac{10}{-2} = -5\). Simplify the right side: \(\frac{-2u}{-2} = u\). So we get \(-5 < u\) or \(u > -5\).

Answer:

\(u > -5\)