Question

solve the inequality for u.
6 ≥ u + 12
simplify your answer as much as possible.

Explanation:

Step1: Subtract 12 from both sides

To isolate \( u \), we subtract 12 from both sides of the inequality \( 6 \geq u + 12 \). This gives \( 6 - 12 \geq u + 12 - 12 \).

Step2: Simplify both sides

Simplifying the left side: \( 6 - 12 = -6 \). Simplifying the right side: \( u + 12 - 12 = u \). So we have \( -6 \geq u \), which can also be written as \( u \leq -6 \).

Answer:

\( u \leq -6 \)