# The feel of technical power

Algebra Level 3

Assume $$a$$ and $$b$$ are both real numbers. Determine which of these statements must necessarily be true:

A) If $$a>b$$, then $$a^2>b^2$$

B) If $$|a|>b$$, then $$a^2>b^2$$

C) If $$a>|b|$$, then $$a^2>b^2$$

D) If $$a^2>b^2$$, then $$a>b$$

E) If $$a\neq|b|$$, then $$a^2\neq b^2$$

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