Which of the following shows how to solve the linear inequality with a letter coefficient Hy<7 , where H is a number greater than 0?

Answer 1

To solve the linear inequality \( Hy < 7 \) where \( H \) is a positive number, follow these steps:

1. Isolate the variable \( y \): Since \( H \) is a positive number, you can divide both sides of the inequality by \( H \) without changing the direction of the inequality.

   \[ y < \frac{7}{H} \]

This means that \( y \) must be less than \( \frac{7}{H} \).

Summary:

The solution to the inequality \( Hy < 7 \) is:

\[ y < \frac{7}{H} \]

This shows that for any value of \( y \) to satisfy the inequality, it must be less than \( \frac{7}{H} \), where \( H > 0 \).