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Solve for $u$ . $\newline$ $4(u + 5) - 2 > -6$

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Solve linear inequalities

Full solution

Q. Solve for

u

.

\newline

4(u + 5) - 2 > -6

Distribute and Simplify: First, distribute the $4$ into the parentheses. $4(u + 5) - 2 > -6$ $4u + 20 - 2 > -6$
Combine Like Terms: Next, combine like terms on the left side. $4u + 18 > -6$
Isolate Variable: Now, subtract $18$ from both sides to isolate the term with $u$ . $\newline$ $4u + 18 - 18 > -6 - 18$ $\newline$ $4u > -24$
Solve for u: Finally, divide both sides by $4$ to solve for $u$ . $\frac{4u}{4} > \frac{-24}{4}$ $u > -6$

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