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)Responsesy<7Hy less than 7 upper Hy<7y less than 7Hy<7upper H y less than 7y<7Hy less than Start Fraction 7 over upper H End Fraction

Answer 1

To solve the inequality \( Hy < 7 \) where \( H > 0 \), you need to isolate \( y \). Here's how to do it step by step:

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

2. Since \( H \) is positive, you can divide both sides of the inequality by \( H \) without changing the direction of the inequality: \[ y < \frac{7}{H} \]

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

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

Therefore, the correct choice from your options is:

y < 7/H