A. y < 7/H
B. y < 7
C. Hy < 7
D. y < 7H
3 answers
To solve the linear inequality \( Hy < 7 \) for \( y \), where \( H \) is a number greater than 0, we can isolate \( y \) by dividing both sides of the inequality by \( H \).
Starting with: \[ Hy < 7 \]
Now, divide both sides by \( H \): \[ y < \frac{7}{H} \]
Thus, the correct choice is: A. \( y < \frac{7}{H} \).
Yes, I am confident that the solution is correct. Let's break it down step by step:
We start with the inequality:
\[ Hy < 7 \]
Since \( H > 0 \), we can safely divide both sides of the inequality by \( H \) without changing the inequality's direction. So we divide:
\[ y < \frac{7}{H} \]
This leads us to the conclusion that:
The correct answer is A: \( y < \frac{7}{H} \).
If \( H \) were negative, we would have to reverse the inequality, but since \( H \) is stated to be greater than 0, the direction of the inequality stays the same. Therefore, the solution is valid as stated.
