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 $H>0$.