Construct an intersection graph of this collection of sets. A1 = {0, 2, 4, 6}, A2 = {0, 1, 2, 3, 4}, A3 = {1, 3, 5, 7, 9}, A4 = {5, 6, 7, 8, 9}, A5 = {1, 5, 8, 9}.

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

A:

Q: The mean of the set {27,15,15,23,x} is 40. What is the mean of the set {1.5x,3x,11,8,12}?

A: Given , The mean of the set { 27 , 15 , 15 , 23 , x  } is 40We have to find the mean of the set…

Q: Write each set using set-builder notation and inequalities. (a)     A = {1, 2, 3, 4, 5, 6,....}…

A: (a) Given set is A=1,2,3,4,5,6,.... The set-builder notation of set A is given by A=x:x∈N   (b)…

Q: Use graphs to find set. (-3, 0)∩[-1, 2]

A: The given sets are We need to find the intersection of these two sets using graphs.

Q: 1. Let the universal set be the set S= {0,2,4,6,8,10,12,14,16} and let A= {2,4,6,8}, B = {0,2,4,6}…

A: a)  b)  c) d) e)

Q: Suppose set A={1,2,3,...,50} is divided into exactly two disjoint, nonempty sets. For example, one…

A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: Find the number of subsets of the given set. {6, 5, 8}

A: We know that, If n(A)=n then possible number of subset are 2nHere A={5,6,8}Therefore n(A)=3possible…

Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

Q: Use graph to find set. (- ∞, 5)∩ [1, 8)

A: To determine: The set -∞,5∩[1, 8) using graph.