Question

The solution to the inequality six while - 4 is greater than 8 as y you set notation to express the value of y that makes any quality 6y - 4 greater than 8 true

Answer 1

To solve the inequality \( 6y - 4 > 8 \), we go through the following steps:

1. **Add 4 to both sides**:
\[
6y - 4 + 4 > 8 + 4
\]
This simplifies to:
\[
6y > 12
\]

2. **Divide both sides by 6**:
\[
\frac{6y}{6} > \frac{12}{6}
\]
This simplifies to:
\[
y > 2
\]

Now, we express the solution in set notation. The solution in set notation is:
\[
\{ y \in \mathbb{R} \mid y > 2 \}
\]

This means that the solution consists of all real numbers \( y \) such that \( y \) is greater than 2.