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Manipal MET2019MathematicsBasics of Mathematics

If 3^x+2^ 2 x 5^x , then the solution set for x is

Options

  1. A(- , 2]
  2. B[2, )
  3. C[0,2]
  4. D2

Correct answer

A. (- , 2]

Step-by-step solution

We have, 3^x+2^ 2 x 5^x aligned & 3^x+ (2^2 )^x 5^x ; 3^x+4^x 5^x & ( 3 5 )^x+ ( 4 5 )^x 1 aligned ( )^x+( )^x 1 [by triangle inequality] x 2 Solution set is (- , 2]

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