Which of the following are equivalent to the
statement “ x0"
I. is a positive number
II. is non-negative
III. x=|x|
a. II only
b. III only
c. I and II only
d. I and III only
e. I, II, and III only

Question

Which of the following are equivalent to the 
statement “ x>0" 
I. is a positive number
II. is non-negative
III. x=|x|
a. II only
b. III only
c. I and II only
d. I and III only
e. I, II, and III only

anonymous · Answer

Its I and III and III.... so its e.
x>0 means all those I think... I would double think about the absolute value of x but we know that it will always be >0 so I would include it as an answer.