Solve the inequality for x, assuming that a, b, and c are positive constants.
(a) a(bx − c) ≥ bc

(Choose the correct answer)
1.[0, c/a]
2. (c/b, bc/a)
3. [c/a + c/b, infinity)
4. (bc, a(b-c)/bc]
5. (-infinity, c/b]

Question

Solve the inequality for x, assuming that a, b, and c are positive constants.
(a)    a(bx − c) ≥ bc

(Choose the correct answer)
 1.[0, c/a]
2. (c/b, bc/a)
3. [c/a + c/b, infinity)
4. (bc, a(b-c)/bc]
5. (-infinity, c/b]

anonymous · Answer

$$a(bx-c)\ge bc\abx-ac\ge bc\abx\ge ac+bc\x\ge \frac{ac}{ab}+\frac{bc}{ab}\x\ge\frac{c}{b}+\frac{c}{a}$$

anonymous · Answer

Thank you so much! It makes a lot more sense now