The solution to the inequality 4y +1> 17 is y>4. Use set notation to express the values of y that make the inequality 4y +1 > 17 true.

Answer 1

To solve the inequality \( 4y + 1 > 17 \), we first isolate \( y \):

1. Subtract 1 from both sides: \[ 4y > 16 \]

2. Divide both sides by 4: \[ y > 4 \]

Now, to express the solution in set notation, we write:

\[ { y \in \mathbb{R} \mid y > 4 } \]

This means "the set of all \( y \) in the real numbers such that \( y \) is greater than 4."