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

Answer 1

To solve the inequality \(4y + 1 > 17\), we start by isolating \(y\):

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 denote the set of all \(y\) values that satisfy the inequality. The set notation for \(y\) values greater than 4 is:

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

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