Disjoint Sets

Q. If A = {x : x is a composite number} and
B = {x : x is a prime number}, then clearly sets A and B are ________ sets.

1. empty sets
2. equal sets
3. finite sets
4. disjoint sets

Q. If set A = { 2, 4, 6, 8, 10} and set B = { 1, 3, 5}, then A and B are __________.

1. disjoint sets
2. None of the above
3. equal sets
4. equivalent sets

Q.

State whether the following are equal or equivalent sets :

$\{1,2,3\};\{+,-,\mathrm{\times }\}$

Q. Observe the Venn diagram given below and choose the correct statements.

1. Sets A and B are disjoint sets.
2. Sets B and C are disjoint sets.
3. Sets C and A are disjoint sets.
4. A - C = {1, 2, 3, 4, 5}

Q.

For 2 sets A and B, which of the following is/are true?

1. A - B = {x: x ∈ A and x ∉ B}

2. The sets A - B, A ∩ B and B - A are mutually disjoint sets.

3. A - B = B - A

4. A ∪ B = {x: x ∈ B and x ∉ A}