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 = ∅

Respuesta :

Answer:

D intersect E=D (the first one you have)

Step-by-step explanation:

D is a subset of E

That means all the elements in D are also in E

So the intersection of D and E is D.

The first thing you wrote is correct, that is, D intersect E=D is right

Answer:

[tex]D\cap E[/tex]=D

Step-by-step explanation:

We are given that D is not empty set but D is a subset of set E.

We have to find the true statement.

[tex]D\neq \phi[/tex]

D is  a subset of set E

Therefore,[tex]D\subset E\neq \phi[/tex]

Intersection: It is the set of common  elements of two sets.

Therefore,[tex]D\cap E[/tex]=D

Because E contains all elements of D .

Hence, Option A is true.