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It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A ⊆ B,

Question

It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A ⊆ B,

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Solution

This statement is defining the concept of a subset in the field of set theory in mathematics. Here's a step-by-step breakdown:

  1. We start with two sets, which are collections of distinct objects, denoted by A and B.

  2. The statement says that every element of set A is also an element of set B. This means that if you were to take any object from set A, you would also be able to find that same object in set B.

  3. If this condition is met, then we can say that A is a subset of B. This is written as A ⊆ B in mathematical notation.

  4. So, in simpler terms, if all the items in set A are also found in set B, then A is a subset of B.

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