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If A = {b, c, f, g} and B = {c, e, g, h}, then verify the commutative property of (a) union of...

Question:

If {eq}A = \{b,\ c,\ f,\ g\} {/eq} and {eq}B = \{c,\ e,\ g,\ h\} {/eq}, then verify the commutative property of (a) union of sets, (b) intersection of sets.

Commutative Property:

In set language, commutative situations can be seen when we perform operations. We can look into the union and intersection of sets to find out if the operation is commutative. A union is nothing but the combination of the elements of A and B. Commutative property of union set is {eq}\ A \cup B = B \cup A \ {/eq}

An intersection is nothing but the common elements present in A and B. Commutative property of union set is {eq}\ A \cap B = B \cap A \ {/eq}

Answer and Explanation: 1

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{eq}\begin{align*} &\text{Solution} \\[0.3 cm] &\text{Given,} \ A = \{ b, c, f, g \} \ \text{and} \ B= \{c, e, g, h \} \\[0.3 cm] & (a). \ A \cup B...

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The Commutative Property: Definition and Examples

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Chapter 1 / Lesson 10
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Learn what the commutative property is. Discover examples of the commutative property of multiplication and addition, and examine uses of the commutative property.


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