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.