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Find two sets a and b such that a ∈ b and a ⊆ b Then, a υ b = b. Let us consider set a = {} and set b = { {}, {1,2} } clearly, a belongs to set b as we know the empty set is a subset of every set
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So we can say a ∈ b We have found that means b consists of all the elements of a The definition of the subset is that every element of set a should be contained in set b
The answer is option (c), where a is the empty set and b is the set containing the empty set
This satisfies the conditions that a is a subset of b and a is an element of b because the empty set is a subset of every set and is also an element of the set b. Find two sets $a$ and $b$ such that $a$ is an element of $b$ and $a \subseteq b$ Would $a = \ {1,2,3\}$ and $b = \ {1,2,3\}$ work There’s just one step to solve this
Consider the provided scenario a ∈ b and a ⊆ b Not the question you’re looking for Post any question and get expert help quickly. To find two sets a and b such that a is an element of b and a is a subset of b, we can define the sets as follows
Let a = {1, 2} and b = {a, 3, 4}
Here, a is an element of b because b contains a as one of its elements. In this question, we have to find two sets that fulfill the given condition in the question statement which are 𝐴 ∈ 𝐵 and also 𝐴 ⊆ 𝐵. The element 4 in set a is not explicitly shown in the list of the elements of b For a to be a subset of b, the element x+1 in set b must be 4
That makes x equal to 3. A set a is a subset of a set b if every element of a is also an element of b We can write this as a ⊆ b It is given that a and b are two sets such that a ⊂ b