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2 years ago

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

Mathematics

2 answers:

cricket20 [7]2 years ago

8 0

Answer: 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.

MrRa [10]2 years ago

3 0

D∩E=D This is because since D is a subset of E then the elements they will have in common are the elements in D and D is not a null set

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1 year ago

James works in a sporting goods store and earns $324 a week and 5% of his sales. One week James earned $432. What were his sales

Bogdan [553]

Answer:

His sales that week were $2,160.

Step-by-step explanation:

First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:

$432-$324=$108

Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:

5% → 108

100% → x

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