Question

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?

y<7/H
Hy<7
y<7
y<7H

Answer 1

To solve the linear inequality \( Hy < 7 \) for \( y \), where \( H \) is a number greater than 0, you need to isolate \( y \) by dividing both sides of the inequality by \( H \).

Here are the steps:

1. Start with the inequality:
\[
Hy < 7
\]

2. Since \( H \) is greater than 0, you can divide both sides by \( H \) without reversing the inequality:
\[
y < \frac{7}{H}
\]

So, the correct expression that shows how to solve the inequality \( Hy < 7 \) is:
\[
y < \frac{7}{H}
\]

Thus, the answer is:
\[
y < \frac{7}{H}
\]