If a^2 + b^2 = c^2 + d^2 = 6, then which of the following...

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PS · Problem Solving

705-805

Inequalities

If a^2 + b^2 = c^2 + d^2 = 6, then which of the following is/are always true?

I. ac+bd≤6

II. ab+cd≤6

III. ad+bc≤6

IV. ab+cd≤3

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A

I and IIonly

B

II and III only

C

III and IV only

D

I, II and III only

E

I, II, III, and IV

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