Question
A) The solution to the inequality is 4y+1 > 17 is y > 4. Use set notation to express the values
of y that make the inequality true. (1 point
of y that make the inequality true. (1 point
Answers
GPT-4o mini
To express the values of \( y \) that make the inequality \( 4y + 1 > 17 \) true 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 solution can be expressed as:
\[
\{ y \in \mathbb{R} \mid y > 4 \}
\]
Alternatively, it can also be represented as the interval:
\[
(4, \infty)
\]
1. Subtract 1 from both sides:
\[
4y > 16
\]
2. Divide both sides by 4:
\[
y > 4
\]
In set notation, the solution can be expressed as:
\[
\{ y \in \mathbb{R} \mid y > 4 \}
\]
Alternatively, it can also be represented as the interval:
\[
(4, \infty)
\]