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
To solve the linear inequality Hy < 7, where H is a number greater than 0, you would divide both sides of the inequality by H:
Hy/H < 7/H
Simplifying the left side:
y < 7/H
Therefore, the correct option is (4) y < 7/H.
To solve the linear inequality Hy < 7, where H is a number greater than 0, you can follow these steps:
Step 1: Divide both sides of the inequality by H. Since H is greater than 0, we can divide by it without changing the inequality direction. This step is necessary to isolate y.
Hy/H < 7/H
Simplifying, we get:
y < 7/H
Step 2: Simplify further if possible. Since H is greater than 0, the value of 7/H would be positive.
y < 7/H
This is the solution to the linear inequality Hy < 7, where H is a number greater than 0.