What is the largest integer n such that 1/2^n> 0.01?
a)5
b)6
c)7
d)10
e)51
The solution to this problem mentioned in the OG is as follows
Since 1/2^n > 0.01 is equivalent to 2n < 100, find
2"
the largest integer n such that 2" < 100. Using
trial and error, 2^6 = 64 and 64 < 100, but
2^7 = 128 and 128 > 100. Therefore, 6 is the largest
integer such that 2^n > 0.01.
The correct answer is B.
My question is
The inequality sign only flips if u multiply or divide by a negative number, so why does the sign flip in the above case.
Thanks
a)5
b)6
c)7
d)10
e)51
The solution to this problem mentioned in the OG is as follows
Since 1/2^n > 0.01 is equivalent to 2n < 100, find
2"
the largest integer n such that 2" < 100. Using
trial and error, 2^6 = 64 and 64 < 100, but
2^7 = 128 and 128 > 100. Therefore, 6 is the largest
integer such that 2^n > 0.01.
The correct answer is B.
My question is
The inequality sign only flips if u multiply or divide by a negative number, so why does the sign flip in the above case.
Thanks
