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 = ∅

 The correct option is (A)  D ∩ E = D.

Step-by-step explanation:  Given that a set D is not the empty set but is a subset of set E.

We are to select the TRUE statement.

SUBSET :  A set A is said to be a subset of another set B if every element of set A is also in set B.

Since the set D is the subset of set E, so all the elements of set D will also be in set E.

So, the intersection of the sets D and E will be the set D.

That is, D ∩ E = D.

For example, let D = {1, 2, 3}  and   E = {0, 1, 2, 3, 4, 5}.

Then, D is a subset of E and  D ∩ E = {1, 2, 3} = D.

Thus, option (A) is CORRECT.

it's d.

step-by-step explanation:

because: -1(4x + 1y) +2 (1x-3y) distribute each number into the parenthesis.

then you would get: -4x - 1y + 2x -6y combine like terms

and get: 2x -7y

hope my answer has you if not then i'm sorry.