Question

Which of the following represents a correct rewriting of the following equation, rewritten to solve for y? ax-by>c

Options
A: y < a/b x + c/b
B: y < a/b x - c/b
C: y > a/b x + c/b
D: y > a/b x + c/b

Answer 1

The inequality ax - by > c, when solved for y, is re-written as y < (a / b) x - (c / b), which corresponds to option B.

Step-by-step explanation:

To rewrite the inequality ax - by > c to solve for y, we need to isolate y on one side of the inequality. Follow these steps:

1. Begin with the given inequality: ax - by > c.
2. Add by to both sides to get: ax > by + c.
3. Subtract c from both sides to get: ax - c > by.
4. Divide both sides by -b (remember that dividing by a negative number reverses the inequality sign): y < (a / b) x - (c / b).

So the correct rewriting of the equation, solved for y, is option B: y < (a / b) x - (c / b).