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,
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:
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We start with two sets, which are collections of distinct objects, denoted by A and B.
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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.
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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.
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So, in simpler terms, if all the items in set A are also found in set B, then A is a subset of B.
Similar Questions
The following set notation will be used:• n(A) Number of elements in set A• ∈ “… is an element of …”• ∉ “… is not an element of …”• A′ Complement of set A• ∅ The empty set• Universal set• A ⊆ B A is a subset of B• A ⊈ B A is not a subset of B• A ∪ B Union of A and B• A ∩ B Intersection of A and B.Example definition of sets:A = {x: x is a natural number}B = {(x, y): y = mx + c}C = {x: a ⩽ x ⩽ b}D = {a, b, c, …
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It refers to a set S and P(x) be a property that elements of S may or may not satisfy. We may define a new set to be the set of all elements x in S such that P(x) is true. The set is denoted as follows: { x ∈ S|P(x)}
Fill in the blank The ______ of sets A and B is the set of all the elements which are common to both A and B
Define: Set, Subset, Complement
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