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0 votes
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in Algebra by (53.5k points)

If x, y, z ε R+, then is \(\frac{yz}{y + z} + \frac{xz}{x + z} + \frac{xy}{x + y}\) is always

a. \(\le \frac12 (x + y + z)\)

b. \(\ge \frac 13 \sqrt{xyz}\)

c. \(\le \frac13 (x + y + z)\)

d. \(\ge \frac 12 \sqrt{xyz}\)

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1 Answer

+1 vote
by (53.3k points)

Correct option is a. \(\le \frac12 (x + y + z)\)

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