Question

Solve the inequality for x:

r - c
———— > (For d > 0)
d

A) r > dy - c
B) r < dy - c
C) r < dy + c
D) r > dy + c

Answer 1

To solve the inequality r - c/d > x for x, we multiply both sides by d, resulting in r - c > dx. Then we rearrange to get r > dx + c, which is option D in the given choices.

Step-by-step explanation:

The question asks to solve the inequality for x given the inequality r - c/d > x (for d > 0). To solve for x, we can multiply both sides of the inequality by d since it is positive and thus will not change the direction of the inequality. Doing this, we get r - c > dx. We then isolate x by dividing both sides by d, resulting in (r - c)/d > x. This simplifies to x < (r - c)/d. We can rearrange this to r > dx + c, which corresponds to option D.