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Solve for $u$ . $\newline$ $6(u - 16) > 12$

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Solve linear inequalities

Full solution

Q. Solve for

u

.

\newline

6(u - 16) > 12

Distribute $6$ : First, we need to distribute the $6$ across the terms inside the parentheses. $\newline$ $6(u - 16) > 12$ $\newline$ $6 \times u - 6 \times 16 > 12$ $\newline$ $6u - 96 > 12$
Isolate variable term: Next, we isolate the variable term by adding $96$ to both sides of the inequality. $\newline$ $6u - 96 + 96 > 12 + 96$ $\newline$ $6u > 108$
Solve for u: Finally, we solve for u by dividing both sides of the inequality by $6$ . $\newline$ $\frac{6u}{6} > \frac{108}{6}$ $\newline$ $u > 18$

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