anonymous
  • anonymous
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
Mathematics
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SOLVED
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katieb
  • katieb
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zzr0ck3r
  • zzr0ck3r
is there any number that is both smaller than -3 and greater than 5?
AkashdeepDeb
  • AkashdeepDeb
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
  • zzr0ck3r
does this make since -3>x>5?

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anonymous
  • anonymous
no number can be there
AkashdeepDeb
  • AkashdeepDeb
Exactly! So it will be an empty or a null set! :D
anonymous
  • anonymous
so c
AkashdeepDeb
  • AkashdeepDeb
Yes! :D
zzr0ck3r
  • zzr0ck3r
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
  • AkashdeepDeb
My bad! Then maybe I misread it! It is 3:00AM here! :P
zzr0ck3r
  • zzr0ck3r
sort of a contradiction argument, but I see how it looks strange:)
AkashdeepDeb
  • AkashdeepDeb
:D

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