Sets

Which of the following are sets? Justify your answer.

Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈ or ∉ in the blank spaces:

Write the following sets in roster form:

Write the following sets in the set-builder form:

List all the elements of the following sets:

Which of the following are examples of the null set

Which of the following sets are finite or infinite

State whether each of the following set is finite or infinite:

In the following, state whether A = B or not:

Are the following pair of sets equal? Give reasons.

From the sets given below, select equal sets: A = {2, 4, 8, 12}, B = {1, 2, 3, 4}, C = {4, 8, 12, 14}, D = {3, 1, 4, 2} E = {–1, 1}, F = {0, a}, G = {1, –1}, H = {0, 1}

Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:

Examine whether the following statements are true or false:

Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why?

Write down all the subsets of the following sets:

Write the following as intervals:

Write the following intervals in set-builder form:

What universal set(s) would you propose for each of the following:

Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of the following may be considered as universal set (s) for all the three sets A, B and C:

Find the union of each of the following pairs of sets: