Question

if a={0,2,4}, find A ∩ ø and A ∩ A coment

Answer 1

Answer:

Step-by-step explanation:

A= {0,2,4}

A∩Ф = {0,2,4} ∩ { }

         = Ф

A∩A = A

Answer 2

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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