The solution to the inequality 4y+1>17

Question

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

Answer 1

To express the solution of the inequality \( 4y + 1 > 17 \) in set notation, we first solve the inequality:

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

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

In set notation, this is expressed as: \[ { y \in \mathbb{R} \mid y > 4 } \] This reads as "the set of all \( y \) in the real numbers such that \( y \) is greater than 4."