Question

If A={0,2,4}, find (i) A intersection W (ii) A intersection A (iii) A union W. Comment.​

Answer 1

SOLUTION

GIVEN

A= { 0, 2, 4 }

TO DETERMINE

(i) A ∩ Φ

(ii) A ∩ A

(iii) A ∪ Φ

EVALUATION

(i)

A ∩ Φ

= { x : x ∈ A ∧ x ∈ Φ }

= Φ [ since Φ contains no element ]

(ii)

A ∩ A

= { x : x ∈ A ∧ x ∈ A }

= A

= { 0, 2, 4 }

(iii)

A ∪ Φ

= { x : x ∈ A ∨ x ∈ Φ }

= A [ since Φ contains no element ]

= { 0, 2, 4 }

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Answer 2

Answer:

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