Question

let A ={ 1,2,3,4 }, B={ 2,3, 4, 6 }and C ={ 3 ,4 ,7} find A× (B– C)​

Answer 1

Step-by-step explanation:

Given,

A = {1,2,3,4},B = {2,3,4,6} & C = {3,4,7}

Consider,

A×(B-C)

Now consider,

(B-C) = {2,3,4,6} - {3,4,7}

= {2,6}

:. (B-C) = {2,6}

Now consider,

A×(B-C) = {1,2,3,4} × {2,6}

= {1,2,3,4} × {2} × {6}

= {2,4,6,8} × {6}

= {12,24,36,48}

:. A×(B-C) = {12,24,36,48}.

Answer 2

Answer:

{ (1,2), (1,6), (2,2), (2,6), (1,7), (2,7), (4,7), (3,7) }  

Step-by-step explanation:

A = { 1,2,3,4 }

B = { 2,3,4,6 }

C = { 3,4,7 }

A × (B - C) = A×B - A×C

                 = { 1,2,3,4 } × { 2,3,4,6 } - { 1,2,3,4 } × { 3,4,7 }

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

All the same pairs of numbers in LHS side and RHS side be cancelled

so, answer is { (1,2), (1,6), (2,2), (2,6), (1,7), (2,7), (4,7), (3,7) }.

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