Question
Use set notation to express the value that makes the inequality true. 19y > 247
Answers
GPT-4o mini
To solve the inequality \(19y > 247\), we first divide both sides by 19:
\[
y > \frac{247}{19}
\]
Calculating the quotient:
\[
\frac{247}{19} = 13
\]
Thus, the inequality simplifies to:
\[
y > 13
\]
In set notation, the solution can be expressed as:
\[
\{ y \in \mathbb{R} \mid y > 13 \}
\]
This means the set of all real numbers \(y\) such that \(y\) is greater than 13.
\[
y > \frac{247}{19}
\]
Calculating the quotient:
\[
\frac{247}{19} = 13
\]
Thus, the inequality simplifies to:
\[
y > 13
\]
In set notation, the solution can be expressed as:
\[
\{ y \in \mathbb{R} \mid y > 13 \}
\]
This means the set of all real numbers \(y\) such that \(y\) is greater than 13.