Prove using elements that (A ∪ B) ^c ⊆ A^c ∩ B^c

Question

Nikolaos P. · Accepted Answer

Suppose that x belongs to the set (A union B)^{complement}. This means that x does not belong to the set (A union B). But then x does not belong to A and x does not belong to B. So x belongs to A^{complement} and x belongs to B^{complement}. Thus, x belongs to (A^{complement} intersection B^{complement}) which completes the proof.

Prove using elements that (A ∪ B) ^c ⊆ A^c ∩ B^c

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Prove using elements that (A ∪ B) ^c ⊆ A^c ∩ B^c

1 Expert Answer

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

rewrite the following statements

computer math

If the right angled triangle t, with sides of length a and b and hypotenuse of length c, has area equal to c^2/4, then t is an isosceles triangle.

What is the original message encrypted using the RSA system with n = 53 * 61 and e = 17 if the encrypted message is 3185 2038 2460 2550

Encrypt the message ATTACK using the RSA system with n = 43 * 59 and e = 13, translating each letter into integers and grouping together pairs of integers

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