Manipal MET2019MathematicsBasics of Mathematics
If 3^x+2^ 2 x 5^x , then the solution set for x is
Options
- A(- , 2]
- B[2, )
- C[0,2]
- 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]