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."