The solution to the inequality 4y+1>17 is y>4. Use set notation to

Question

express the values of y that make the inequality 4y+1>17 true

Answer 1

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

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 can write it as: \[ { y \in \mathbb{R} \mid y > 4 } \]

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