Give an example of a sequence of open sets G1,G2,G3, ... whose intersection is neither open nor closed.

Step-by-step explanation:

First, let us define what a set that is neither opened nor closed mean.

When we say a set of rational numbers is neither open nor closed. We are saying it isn't open because all the neighborhood of a rational number contains irrational numbers, and its complement isn't open either because all neighborhood of an irrational number contains rational numbers.

Now, a set that is neither open nor closed is a set that has an interval with one end open and one end closed, for example, [3, 4).

If we are to construct a sequence of open sets whose intersection is [3,4)

Then we say that:

Assume that G(n) = (-1/n, 1)

Then all G(n) contains [3,4).

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.