Question

If A = (-1, 1) B = {0.2) C = {0, 1) then find (A x B) intersection (B x C) ​

Answer 1

Step-by-step explanation:

a = 1

b= 0.2

c= 0

l×0.2=0.2

0.2×1=0.2

intersect

Answer 2

SOLUTION

CORRECT QUESTION

GIVEN

A = { - 1 , 1 } , B = { 0 , 2 } , C = { 0 , 1 }

TO DETERMINE

( A × B ) ∩ ( B × C )

CONCEPT TO BE IMPLEMENTED

Cartesian Product :

Let A and B are two sets. Then the Cartesian product of A and B is denoted by A × B and defined as

$\sf{A \times B = \{(x, y) : x \in A \: \: and \: \: y \in B \}}$

EVALUATION

Here it is given that ,

A = { - 1 , 1 } , B = { 0 , 2 } , C = { 0 , 1 }

Now we have

A × B

= { ( - 1,0) , ( - 1,2) , (1,0) , (1,2) }

B × C

= { (0,0) , (2,0) , (0,1) , (2,1) }

We see that there is no common element in A × B and B × C

Thus we have

( A × B ) ∩ ( B × C ) = Φ

FINAL ANSWER

( A × B ) ∩ ( B × C ) = Φ

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