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)

Question

Responses

Hy<7
upper H y less than 7

y<7H
y less than Start Fraction 7 over upper H End Fraction

y<7H
y less than 7 upper H

y<7

Answer 1

To solve the inequality \( Hy < 7 \) where \( H \) is a positive number, you can isolate \( y \) by dividing both sides by \( H \). Since \( H \) is positive, the direction of the inequality remains the same.

Here are the steps:

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

2. Divide both sides by \( H \) (since \( H > 0 \)): \[ y < \frac{7}{H} \]

So the correct response that shows how to solve the linear inequality is:

• y < 7/H (y less than Start Fraction 7 over upper H End Fraction).