Decide whether each statement is true or false. justify your answer to each question.?

a. 3^x %26gt; x^6 for all values x in the interval (2, infinity)


b. 1.0001^x %26lt; x^15 for all values of x in ther interval (2, infinity)


c. 1.5^x %26gt; x^3 for all values of x in the interval (25, infinity)Decide whether each statement is true or false. justify your answer to each question.?
a. false put in x=3


b. true mathematical induction'


true for x=2 assume true fir x=k


(1.0001)^k%26lt;k^15


multiply by k


k*(10001)^k%26lt;k^16


k*(10001)^k%26lt;k^15%26lt;k16 qed


c. too tired to do any more.Decide whether each statement is true or false. justify your answer to each question.?
false false false





don't care
b. I dunno, I just guessed.