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posted by  Purple Flower on 8/20/2008 10:19:19 AM  |  status: Live  

Abstract Algebra

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LetA={x is in R 0<=x<=5}, B ={ x is in R | -2<=x <4}. Describe the following.
a. A x B

b. B x A

c. BxA- AxB
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posted by Roland on 8/25/2008 12:20:52 PM  |  status: Live
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Response Details:
a.)
AxB={(x,y):0x5 and -2y4} which looks like a rectangle of lengths sides 5 and 6  .
b.)BxA={(x,y):  -2x4 and  0y5} is the rectangle which obtained by rotating the above 
      by 900.
c.)
Hence BxA-AxB={(x,y): -2x<0 and 0y5}U{(x,y): 0x4 and 4<y5}
END
 
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