Question

solve for k. 85(k + 44) + 92 ≤ 7

Explanation:

Step1: Subtract 92 from both sides

To isolate the term with \( k \), we subtract 92 from both sides of the inequality \( 85(k + 44) + 92 \leq 7 \). This gives us \( 85(k + 44) + 92 - 92 \leq 7 - 92 \), which simplifies to \( 85(k + 44) \leq -85 \).

Step2: Divide both sides by 85

Next, we divide both sides of the inequality \( 85(k + 44) \leq -85 \) by 85. So, \( \frac{85(k + 44)}{85} \leq \frac{-85}{85} \), which simplifies to \( k + 44 \leq -1 \).

Step3: Subtract 44 from both sides

Finally, we subtract 44 from both sides of the inequality \( k + 44 \leq -1 \) to solve for \( k \). This gives \( k + 44 - 44 \leq -1 - 44 \), which simplifies to \( k \leq -45 \).

Answer:

\( k \leq -45 \)