Question

Let A = set of natural numbers less than 8
Class 7

Answer 1

Answer:

can u plz clear question

Answer 2

Question: (I think your question is this which is as follows)

Let A = The set of all natural numbers less than 8, B = The set of all prime number

less than 8, C = The set of even prime number. Verify that

(i) (A) B) x C = (A x C) 0 (B x C) . (ii) A X (B - C) = (A x B) - ( A X C)

4 Relations​

Answer: (According to the following question)

A={1.2,3,4,5,6,7},B={2,3,5,7},C={2}  

(ii) B-C={3,5,7}        

So A×(B-C)={{1.2,3,4,5,6,7} × { 3,5,7}  

A×(B-C)= { (1,3),(1,5),(1,7),(2,3),(2,5),(2,7), (3,3),(3,5),(3,7),(4,3),(4,5),(4,7), (5,3),(5,5),(5,7 (6,3),(6,5),(6,7), (7,3),(7,5),(7,7 )} ---------------------(1_

Now A × B ={ (1,2),(1,3),(1,5),(1,7),(2,2),(2,3),(2,5),(2,7),(3,2),(3,3),(3,5),(3,7),(4,2),(4,3),(4,5),(4,7),(5,2),(5,3),(5,5),(5,7),(6,2),(6,3),(6,5),(6,7),(7,2),(7,3),(7,5),(7,7)}  

 A×C=((1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(7,2) }

Now  A × B- A × C

= {(1,3),(1,5),(1,7),(2,3),(2,5),(2,7),(3,3),(3,5),(3,7),(4,3),(4,5),(4,7),(5,3),(5,5),(5,7),,(6,3),(6,5),(6,7),(7,3),(7,5),(7,7)} --------------(2)

From(1) and (2)

A×(B-C) =  A × B- A × C

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