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QJEEAdv04Ma1915: JEE Advanced 2004 Mathematics - Class 11 JEEAdv04Ma1915 Solution: If a , b , c are positive real numbers. Then prove that

If a,b,c are positive real numbers. Then prove that </mo></mrow><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>a</mi><mo>+</mo><mn>1</mn></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mn>7</mn></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>b</mi><mo>+</mo><mn>1</mn></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mn>7</mn></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mi>c</mi><mo>+</mo><mn>1</mn></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mn>7</mn></msup></mrow><mo>&gt;</mo><mrow data-mjx-texclass="ORD"><msup><mn>7</mn><mn>7</mn></msup></mrow><mstyle scriptlevel="0"><mspace width="0.167em"></mspace></mstyle><mrow data-mjx-texclass="ORD"><msup><mi>a</mi><mn>4</mn></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>b</mi><mn>4</mn></msup></mrow><mrow data-mjx-texclass="ORD"><msup><mi>c</mi><mn>4</mn></msup></mrow></math></mjx-assistive-mml></mjx-container></mjx-assistive-mml></mjx-container>

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