Solve the inequality for y. 21≥y/4-14Simplify your answer as much as possible.

Answer 1

To solve the inequality \( 21 \geq \frac{y}{4} - 14 \), we will isolate \( y \).

1. Start by adding 14 to both sides of the inequality:

\[ 21 + 14 \geq \frac{y}{4} \]

This simplifies to:

\[ 35 \geq \frac{y}{4} \]

2. Next, multiply both sides by 4 to eliminate the fraction. Note that since 4 is positive, the direction of the inequality will not change:

\[ 4 \cdot 35 \geq y \]

This simplifies to:

\[ 140 \geq y \]

3. We can rewrite this as:

\[ y \leq 140 \]

Thus, the solution to the inequality is:

\[ y \leq 140 \]