Question

solve the following inequality. 3y + 2y ≤ - 45 select the correct choice below and fill in the answer box to complete your choice. a. the solution is {y|y < }. b. the solution is {y|y ≥ }. c. the solution is {y|y ≤ }. d. the solution is {y|y > }.

Explanation:

Step1: Combine like - terms

Combine $3y$ and $2y$ on the left - hand side of the inequality. We get $5y\leq - 45$.

Step2: Solve for $y$

Divide both sides of the inequality $5y\leq - 45$ by 5. Since 5 is positive, the direction of the inequality sign remains the same. So, $y\leq\frac{-45}{5}=-9$.

Answer:

C. The solution is $\{y|y\leq - 9\}$