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If set D is not the empty set but is a subset of set E, then which of the following is true?

D ∩ E = D
D ∩ E = E
D ∩ E = Ø

User Whusterj
by
6.5k points

2 Answers

2 votes

Answer:

first one is correct the one that is =D

Explanation:

User Jason Rahm
by
6.2k points
0 votes
Concept:
If every element of a set D is an element of set E, then D is the subset of E.
e.g
D={1,2,3}, E={1,2,3,4}
As all the elements of D are in E, so D is the subset of E.
Now the intersection of two sets D and E is the set of all elements which belong to both D and E.
As, in our example the set D={1,2,3} is the intersection of set D and set E.

From the above discussion, it is proved that If set D is not the empty set but is a subset of set E then
D ∩ E = D is the true answer.
User Spzvtbg
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6.1k points
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