Which of the following statements is false?

Question

a) If x < 4, then |2x – 8| = 8 – 2x.

b) For all x, |x2 + x + 1| = x2 + x + 1.

c) For all x > 0, |x|/x2 = 1/x.

d) For all x < 0, |x|/x2 = 1/x.

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

Assuming x2 means x squared, both b and d are false.

Answer 2

goonies was a great movie.

D

Answer 3

(b) is false.