Powers & inequalities (2)

Algebra Level 3

Wich of the following inequalities is false ?

(A) 5 128 3 128 > 2 127 \text{(A)}\,\,\,\,\,\, 5^{128}-3^{128}>2^{127} (B) 320 9 4 333 1 4 + 6 12 2 2 320 9 2 + 12 1 3 > 0 \text{(B)}\,\,\,\,\,\, 3209^4-3331^4+6\cdot 122^2\cdot 3209^2+121^3>0 (C) ( 13 e ) 7 > 7 7 e 5 + 6 7 e 7 + 36 e 3 \text{(C)}\,\,\,\,\,\, (13e)^7>7^7e^5+6^7e^7+36e^3 (D) 9643 1 5 43 1 5 > 9 6 5 1 0 15 + 96 431 1 0 4 \text{(D)}\,\,\,\,\,\, 96431^5-431^5>96^5\cdot 10^{15}+96\cdot 431\cdot 10^4 (E) 1 9 7 < 2 0 7 7 1 9 6 56 1 9 4 \text{(E)}\,\,\,\,\,\, 19^7<20^7-7\cdot 19^6 -56\cdot 19^4 (F) 6 0 3 5 7 3 > 3 3 + 9 6 0 2 60 3 6 \text{(F)}\,\,\,\,\,\, 60^3-57^3>3^3+9\cdot 60^2- 60\cdot 3^6

(A) (F) (B) (E) (D) (C)

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Every inequality mentioned here can be easily checked without a calculator by using the famous Pascal's triangle .

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...