The solution to the inequality 4 y plus 1 greater than 17. Use set notation to express the values of y that make the inequality 4 y plus 1 greater than 17 true

Answer 1

To solve the inequality \( 4y + 1 > 17 \), follow these steps:

1. Subtract 1 from both sides of the inequality: \[ 4y > 17 - 1 \] \[ 4y > 16 \]

2. Divide both sides by 4: \[ y > \frac{16}{4} \] \[ y > 4 \]

Now, to express the solution in set notation, we can write: \[ { y \in \mathbb{R} \mid y > 4 } \]

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