QUESTION CHAP1_1_2_3.pdf - EXERCISE CHAPTER 1 Question1...

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EXERCISE CHAPTER 1Question1Given set𝐴 = {𝑑, 𝑖, 𝑠, 𝑐, 𝑟, 𝑒, 𝑡, 𝑒}. Answer the following questions:a.Find| 𝐴 |b.List the elements of set𝐵 = {𝑥|𝑥 ∈ {𝑎, 𝑒, 𝑖, 𝑜, 𝑢}𝑎𝑛𝑑 𝑥 ∈ 𝐴}}c.List all the subset of set𝐶 = {𝑑, 𝑠}Question 2a.State whether the following is TRUE or FALSEi.3 ∉ {x | x is an even number}ii.{𝑎}⊆ {𝑎, 𝑏, 𝑐}b.Let U = {1, 2, 3, 4, 5, 6, 7} and A = {3, 4, 5, 6, 7} B = {1, 3, 5}. Show that :i.(AB)' = A' ∩ B'ii.(A-B) = A ∩ B'c.Find the cartesian product of set P ={b, c} and Q ={1, 2}Question 3Prove that((𝑃∪ 𝑄) ∪ 𝑄)′= 𝑃∩ 𝑄using properties of set.Question 41.Let A and B are sets, show that (AB)(AB)’ =Ausing properties of set.Question 5
Question 6Question 7Write the following statement using
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