Which of the following is false?
i. (1)2016>(1)2014
ii. (1)2016>(0)2016
iii. (1)2016>(−1)2016
iv. (−1)2014>(−1)2015
As, we know
(1)any number=1
(−1)odd number=−1
(−1)even number=+1
(0)any non−zero number=0
Now,
i) (1)2016>(1)2014⟹1>1,
which is not possible, hence this statement is false.
ii) (1)2016>(0)2016⟹1>0,
this statement is true.
iii) (1)2016>(−1)2016⟹1>1,
which is not possible, hence this statement is false.
iv) (−1)2014>(−1)2015⟹1>(−1)
this statement is true.
∴ Only i and iii are false.