What is the solution set of {x | x 5}? all numbers except -3 and 5 the numbers between -3 and 5 the empty set all real numbers

Question

What is the solution set of {x | x < -3} ∩ {x | x > 5}?


all numbers except -3 and 5
the numbers between -3 and 5
the empty set
all real numbers

zzr0ck3r · Answer

is there any number that is both smaller than -3 and greater than 5?

akashdeepdeb · Answer

What do you think? :D
Less than three would be 
-4,-5,-6,-7,-8.............
Greatter than 5 would be
6,7,8,9,10.........
Now what do you see common? :D

zzr0ck3r · Answer

does this make since -3>x>5?

anonymous · Answer

no number can be there

akashdeepdeb · Answer

Exactly!
So it will be an empty or a null set! :D

anonymous · Answer

so c

akashdeepdeb · Answer

Yes! :D

zzr0ck3r · Answer

I did not mess up the signs, the points was to show that her intersection implies
-3>x>5 which implies 5<-3, and thus no x exists and thus the set is empty

akashdeepdeb · Answer

My bad!
Then maybe I misread it!
It is 3:00AM here! :P

zzr0ck3r · Answer

sort of a contradiction argument, but I see how it looks strange:)

akashdeepdeb · Answer

:D