If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii) B = {d, e, f, g}(iii) C = {a, c, e, g} (iv) D = { f, g, h, a}

Q: Bag A contains 10 balls of which 3 are red and 7 are blue(assume that each ball is numbered, so all…

A:

Q: Use the given sets to find (A∪B)∩C   A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

A: Given that, A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

Q: Are the two sets equivalent? Q={99,8,3,14,7}, W={33,7,1,2,3}.

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Q: 11. For all sets A, B, and C, AN (B-C) C (A N B)– (A N C).

A: We use basic formula of set theory like A – A = Ø  B – A = B⋂ A’ B – A = B – (A⋂B) n(AUB) = n(A – B)…

Q: What is the minimum number of students required in a Mathematics class test to be sure that at least…

A: We need to use the pigeonhole principle.  We need to find the minimum number of students that are…

Q: Plot the scatter plot defined by the points on the left. Then match it to the correct correlation…

A: 2,8,4,7,5,6,6,5,8,4 r=-0.83 1,1,3,3,5,5,7,7,9,9 r=-0.04 2,8,4,8,5,4,6,6,8,3 r=0.47…

Q: Determine whether each of these pairs of set are equal 1 (5,6,7,8,9,10) (1,2,3,3,4,4) = 2.…

A: We know that two sets A and B can be equal only if each element of set A is also the element of the…

Q: Q1. How many different subsets are in cach of the following sets? Justify your answer. (a) (0} (b)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: determine which of the following sets are equivalent to the set (x,y,z) a. (w,x,y,z) b. (1,5,17)…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: 13. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

A: Given that U=-5,-4,-3,-2,-1,0,1,2,3,4,5 A=x:x2=25 B=-5,0,1,2,3,4,5 C=x:x2-5x+6=0 We have to find A∩B

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.