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84. If -1 < x < 1 and x ≠ 0, which of the following inequalities must be true?

I. [latex size=0]\displaystyle x^{3} < x[/latex]
II. [latex size=0]\displaystyle x^{2} < |x|[/latex]
III. [latex size=0]\displaystyle x^{4} - x^{5} > x^{3} - x^{2}[/latex]

A. I only

B. II only

C. III only

D. II and III only

E. I, II, and III

Video Solution