Find a subset of the set {10, 12, 14, 16...,3600}A) The set of even whole numbers B){3597, 3598, 3599, 3600} C){10, 14, 18, 22,...3600} D) {-10, -8, -6,...6,8,10]  

1 Answer | Add Yours

sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You need to remember that a subset of a set consists of a smaller number of elements or, at most, the same number of elements as the original set.

You should notice that the A) answer  is not ok since the set of even whole numbers consists of all negative and positive even whole numbers, thus this set is bigger than the given set.

You should notice that the B) is not ok since the set {3597, 3598, 3599, 3600} consists of elements that are not comprised by the original set as 3597 and 3599.

Notice that the C) answer is ok since the set {10, 14, 18, 22,...3600} comprises a smaller number of elements than the original set, but all the elements of {10, 14, 18, 22,...3600} are also the elements of original set.

The D) answer is not ok since the set {-10, -8, -6,...6,8,10} consists of negative elements that are not elements of original set.

Hence, you need to select C) answer since the set {10, 14, 18, 22,...3600} represents a subset of {10, 12, 14, 16...,3600}.

We’ve answered 318,911 questions. We can answer yours, too.

Ask a question