Which of the following statements is false?

Question

a) If x < 4, then |8 - 2x| = 8 – 2x.

b) For all x, ln e^x = x.

c) For all x > 0, |x|/x^3 = 1/x^2 .

d) For all x < 0, |x|/x^3 = -1/x^2 .

e) At least one of the above statements is false.

NOTE: People sometimes squawk at (e). But if all of (a), (b), (c), and (d) are true, isn't (e) false? And similarly, if one of the first four is false, then (e) is true, isn't it?

Answer 1

Only (b) is false because Log e(to base e) x = x for all x. Otherwise this function is false.

And because (b) is false, (e) becomes true.

Answer 2

i'll disagree with the final public of human beings on the main familiar answer of B on my own, i think of the two A and B are fake, and that i'll describe my intent. A.fake. cumulus degree is while the cloud is interior the form of a heaped up mass ( Webster dictionary); and there is not any point out of percipitation. B. fake. think of humidity and then think of of the coldest day which you would be able to remember. The humid air is thick (extra dense), and on a chilly day the air feels skinny. C. real. that's the 1st degree while the cloud starts to become heaped up white lots. The moisture is beginning as much as acquire interior the clouds.

Answer 3

a is true

b is false

c is true
d is true
e is true

Answer 4

(e)

The others are easily demonstrated to be true.