subset

A set has a cardinality of 9. How many proper subsets does the set have? The set has 2^9 = 512 proper subsets

A survey of 75 people found 45 like rabbits, 32 like hamsters, and 15 like both animals. How many people like neither animal? People who like either rabbits or hamsters = Rabbit liners + hamster likes - both likers People who like either rabbits or hamsters = 45 + 32 - 15 People who like either...

x is a multiple of 6 and 1 ≤ x ≤ 16. We want multiples of 6 between 1 and 16. We start with 6. Another multiple of 6 is 12 The next multiple of 6 is 18, which is out side the range of 1 ≤ x ≤ 16. So our number set is x = {6, 12}

Determine if the statement below is True or False If B ⊂ A, then A ∩ B = B Is this statement True or False? True: If B ⊂ A, then B ∈ A So A ∩ B is the similar elements of both. B contains itself as a subset. So this is true