Equal sets definition and examples explained

Learn and know everything about equal sets i.e. its definition and examples and also know which are not equal sets. Am sure that, you will understand the concept very well if you are going through all the points which I have given below on equal sets. After that you will be say your own definition and examples in your own style.

Equal sets definition and examples explained

In set theory, that too in types of sets the one of the easiest definition that we will understand clearly is equal sets. The name itself reflects the meaning of equal sets but there is some condition that we should keep in mind.

Definition of equal sets:

Given any two sets P and Q, the two sets P and Q are called as equal sets if the sets P and Q have same elements and also same number of elements. In the sets order of elements is not taken into account. Let us take some example to understand it.

Example 1:

P = {4, 5, 8, 7, 10, 2, 4, 7} and Q = {7, 10, 4, 8, 5, 2}

The above given two sets P and Q are equal sets as they contains same number of elements and also same elements. In the set P we have 8 elements but the element 4 and 7 repeated so we need to count only once.

Example 2:

K = {m, h, y, g, j, d} and L = {s, h, t, b, z, a}

The sets K and L are not equal sets because they don’t have equal elements even though they have equal number of elements. We should check that they have same elements and same number of elements then only they are equal sets.

Hope you have understood what are the equal sets and how to define them.

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