-a) Solve the inequality \( 6 y+5>8 \)

To solve the inequality \( 6y + 5 > 8 \), start by isolating \( y \). Subtract 5 from both sides to get \( 6y > 3 \). Now, divide both sides by 6: \( y > \frac{1}{2} \). This tells us all the values of \( y \) that are greater than \( \frac{1}{2} \) satisfy the inequality! For a bit of fun, you can visualize this by imagining a number line: mark \( \frac{1}{2} \) and then shade everything to the right of it, indicating all the values that make our original inequality true. So, think of it as a party that starts at \( \frac{1}{2} \) and everyone (or every number) to the right is invited!