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Question: If a, b, c \> 0 then (a + b + c) <img src="https://cdn.pureessence.tech/canvas_494.png?top_left_x=0&...

If a, b, c > 0 then (a + b + c) is –

A

Equal to 9

B

³ 9

C

£ 9

D

None of these

Answer

³ 9

Explanation

Solution

A.M. ³ H.M.

³ 3(1a+1b+1c)\frac { 3 } { \left( \frac { 1 } { a } + \frac { 1 } { b } + \frac { 1 } { c } \right) }

̃ (a + b + c) ³ 9