Question

If b and y represent real numbers for which y^3 = -b, which of the following statements could be true?

I. b >0
II. b = 0
III. b<0

A) None
B) I only
C) II Only
D) III Only
E) I, II, and III

Answer 1

E.

Solve by solving each case separately.

Case 1: if b > 0, then y^3 < 0. True if y < 0
Case 2: if b = 0, then y^3 = 0. True if y = 0
Case 3: ?