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- 7. Find the union or intersection as indicated for the given sets.A = {x | x ∈ the natural numbers and x < 4}, B = {x | x ∈ the integers and -2 < x < 2}Find A ∪ B. A.{0, 1} B.{-2, -1, 0, 1, 2, 3, 4} C.{-1, 0, 1, 2, 3} D.{1} E.No answer text provided.6. Show that is an open subset of R². R² – Z²Discrete Math 1C
- What are all the proper subsets for {a, b, c}?in how many ways can the numbers 1,2,3,4,5,6,7 be arranged so that a. 1 and 7 are adjacent? b. 1 and 7 are not adjacent? c. 1 and 7 are exactly three spaces apart?8. Which of the following is/are a null set? I: {x : x is prime and 7 < x< 10} II: {x : x € Ø} III: {x €N :0s x < 1} A. I and II only B. I only C. II and III only D. III only E. None of the above.
- 3. Consider the sets A = {0, 1} Which is the following statements is TRUE? (a) 0 EAN B (b) 0 € An B (c) {0,1} CANB (d) All of the other statements are false. and B = {CC is a subset of {0, 1}}.9. Which of the following sets is countable and which is uncountable: A = {x |x = 2n, n e N} B = {x | x = 2n + 1, neN} C= {x | x€R, 0. Are the following sets equal?M = {x ∈ Z+: 5 ≤ x < 10} and N = {9,8,7,6},where Z+ denotes the set of all positive integers.Justify your answer.Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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