Math, asked by kiranraj18, 1 year ago

Let A = The set of all natural numbers less than 8, B = The set all
prime numbers less than 8, C = The set of even prime number.
Verify that Ax(B-C) = (AXB) - (AXC).
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Answers

Answered by dharshinideva187
6

Answer:

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

B=(2,3,5,7)

c=(2)

B-C=(3,5,7)

L.H.S AX(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___

R.H.S AxB={(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)}

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

(AxB)-(AxC)={(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_____

L.H.S=R.H.S

1=2

hence proved that the function is defined.

Answered by renukajagannadham
3

Answer:

comes........... r u kk

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