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?(1 point) Responses y<7H y less than 7 upper H y<7 y less than 7 y<7H y less than Start Fraction 7 over upper H End Fraction Hy<7 upper H y less than 7

Answer 1

To solve the linear inequality \( Hy < 7 \), where \( H \) is a number greater than 0, you can divide both sides of the inequality by \( H \). Since \( H \) is positive, the direction of the inequality will not change.

Here's how you do it step by step:

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

2. Divide both sides by \( H \):
\[
y < \frac{7}{H}
\]

So the correct response that shows how to solve the linear inequality is:
\[
y < \frac{7}{H}
\]

This indicates that \( y \) is less than \( \frac{7}{H} \).