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# Mth001 Assignment 2 spring 2013 due date 18 may 2013

Question 1;                                                                                                            Mark:8

Use membership table to prove that

B-A= B Ç AC

Question 2;                                                                                                         Marks: 7

Let A={5,10,15} and B={3,5}

Define relations S and T from A to B as follows

(i)                 For all

(ii)               For all

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### Replies to This Discussion

QUESTION NO 1

A          B         A'        B-A        B n A'

1           1         0          0             0

1           0         0          0             0

0           1         1          1             1

0           0         1          0             0

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Solution For Quastion no 1

 A B AC B-A B Ç AC 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0

Solution: (i)
AxB={(5,3),(5,5),(10,3),(10,5),(15,3),(15,5)}
Relation S= {(5, 5), (10, 5), (15, 3), (15, 5)}
Solution: (ii)
AxB={(5,3),(5,5),(10,3),(10,5),(15,3),(15,5)}
Relation T= {(10, 5), (15, 3), (15, 5)}

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