Find the value of y which satisfies 4y + 5 > 25? y > 5 y < - 3 y > - 5 y < 7 None of thes

1. Break Down the Problem

We need to solve the inequality $4y + 5 > 25$ for $y$.

2. Relevant Concepts

To isolate $y$, we can use algebraic manipulation to solve the inequality. The basic steps to solve linear inequalities involve performing operations that maintain the inequality's direction.

3. Analysis and Detail

1. Start with the original inequality: $4y + 5 > 25$
2. Subtract 5 from both sides to isolate the term with $y$: $4y > 25 - 5$ Simplifying the right side gives: $4y > 20$
3. Divide both sides by 4 to solve for $y$: $y > \frac{20}{4}$ This simplifies to: $y > 5$

4. Verify and Summarize

The solution to the inequality is $y > 5$. We can check this by substituting a value greater than 5, such as $y = 6$: $4(6) + 5 = 24 + 5 = 29 > 25$ Thus, the solution is verified.

Final Answer

The value of $y$ that satisfies the inequality is $y > 5$.