To solve the inequality \( 4y + 1 > 17 \):
- Subtract 1 from both sides: \[ 4y > 16 \]
- Divide both sides by 4: \[ y > 4 \]
In set notation, the solution can be expressed as: \[ { y \in \mathbb{R} \mid y > 4 } \] This denotes the set of all real numbers \( y \) such that \( y \) is greater than 4.