The solution to the inequality 4y+1>17

Question

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

Answer 1

To express the solution to 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, the values of \( y \) that satisfy this inequality can be expressed as:

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

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