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 Start Fraction 7 over upper H End Fraction

Hy<7
upper H y less than 7

y<7H
y less than 7 upper H

y<7

1 answer

To solve the linear inequality \( Hy < 7 \) where \( H \) is a number greater than 0, you should divide both sides of the inequality by \( H \). Since \( H \) is positive, the direction of the inequality remains the same.

Starting with:

\[ Hy < 7 \]

Dividing both sides by \( H \):

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

So the correct response that shows how to solve the inequality would be:

y less than Start Fraction 7 over upper H End Fraction