true or false maths question

Question

(1 x 3 x ...... x 101) > (2 x 4 x ...... x 100) 

 

True or false?

Answer 1

True, the left side has one more factor than the right side, 101.

Answer 2

  true because.... 

          2  x  4  x  6  x  8  x  10  x...x  98  x   100

  1  x  3  x  5  x  7  x  9  x  11  x...x  99  x    101 

each corresponding odd number is 1 more than the corresponding even number, so you are multiplying larger odd numbers than even numbers