2.5 Refer to Exercise 2.4. Use the identities A = A ∩ S and S = B ∪ B and a distributive law to prove that a A=(A∩B)∪(A∩B). b If

Question

3 years ago

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2.5 Refer to Exercise 2.4. Use the identities A = A ∩ S and S = B ∪ B and a distributive law to prove that a A=(A∩B)∪(A∩B). b If

B⊂AthenA=B∪(A∩B). c Further, show that ( A ∩ B ) and ( A ∩ B ) are mutually exclusive and therefore that A is the union of two mutually exclusive sets, (A ∩ B) and (A ∩ B). d AlsoshowthatBand(A∩B)aremutuallyexclusiveandifB⊂A,Aistheunionoftwo mutually exclusive sets, B and (A ∩ B)

Mathematics

1 answer:

natka813 [3] · Answer 1 · 2022-02-20T21:59:12+03:00

natka813 [3]3 years ago

5 0

Answer:

All identities proved

Step-by-step explanation:

The step by step proving using the distributive law property is as shown in the attachment.