Union Sets Math Examples With Answers

The following table gives some properties of union of sets. A b red green blue yellow orange notice we only list red once. Find the union of the sets set up the union notation of set and.

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Find a b.

Union sets math examples with answers. The union of the set is denoted by the symbol. A red green blue b red yellow orange c red orange yellow green blue purple find the following. In example 3 since x y we get that x y y. A b pronounced as a union b are members that are in set a or set b or both.

Draw and label a venn diagram to show the a b. Another way to define the union of two sets is as follows. This relationship is defined below. We don t repeat numbers in a union.

Let a 1 orange 1 pineapple 1 banana 1 apple and b 1 spoon 1 knife 1 fork a b 1 orange 1 pineapple 1 banana 1 apple 1 spoon 1 knife 1 fork example 2. Scroll down the page for more examples. Let animals a 10 dogs and b 20 cats. Yes those are both examples of sets.

The union contains all the elements in either set. The intersect or n would be because there isn t anything that s the same in both sets. Venn diagram of union of sets. Basically we find a b by putting all the elements of a and b together.

Find a c c. Commutative associative identity and distributive. Word problems on sets are solved here to get the basic ideas how to use the properties of union and intersection of sets. Let us consider a universal set u such that a and b are the subsets of this universal set.

The union of two sets is the set of. Find a b. The union of two sets a and b is defined as the set of all the elements which lie in set a and set b or both the elements in a and b altogether. Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor.

X y 1 3 5 6 8 9 which is equal to the set y. Universe 1 2 3 4 5 6 7 8 9 10 a 2 4 6 8 10 b 6 7 8 9 10 show step by step solutions. We next illustrate with examples. Find the union of a and b.

Solved basic word problems on sets. Given u 1 2 3 4 5 6 7 8 10 x 1 2 6 7 and y 1 3 4 5 8 find x y and draw a venn diagram to illustrate x y. The union or u would be 1 2 3 4 5 6 7 8 not necessarily in numerical order. A b pronounced as a intersection b are members that are common to both set a and set b.

Let a and b be two finite sets such that n a 20 n b 28 and n a b 36 find n a b. Sets intersection union and complement.