Question

Solution to the inequality 6y - 4 is greater than 8 is y is greater you set notation to express the values of why that makes inequality sex y minus 4 is greater than a true

Answer 1

To solve the inequality \( 6y - 4 > 8 \), we can follow these steps:

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

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

So the solution to the inequality \( 6y - 4 > 8 \) is \( y > 2 \).

### Set Notation
In set notation, this can be expressed as:
\[
\{ y \in \mathbb{R} \mid y > 2 \}
\]
This means "the set of all real numbers \( y \) such that \( y \) is greater than 2."