Which of the following is correct?

The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

If U = {x | x ∈ N, x < 10} and A = {x | x ∈ N, 2 ≤ x < 6} then (A′)′ is –––––––––.

If B ⊆ A then n(A∩B) is –––––––––.

If A = {x, y, z} then the number of non - empty subsets of A is ________.

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

Number of subsets in set A = {1,2,3} is ________

The set does not have a proper subset is __________

Sets having the same number of elements are called ___________

The set (A - B) U(B - A) is ___________

Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Muralivijay ____ A.

Consider the set A = { Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Ashwin ______ A.

Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Badrinath ______A.

Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Ganguly _____ A.

Consider the set A = {Ashwin, Muralivijay, Vijay Shankar, Badrinath }.
Fill in the blanks with the appropriate symbol \(\in \) or \(\notin \).
Tendulkar _____ A.

A is a proper subset of B, then A U B = ______________

If A ⊆ B, then A - B is __________

Sets having atleast one element in common are called ___________

If n(A) = 50, n(B) = 35, n(A ⋂ B) = 5, then n(A U B) is equal to __________

If A and B are two finite sets such that n(A - B) = 30, n(A UB) = 180, then n(B) is ___________

Write the set of letters of the following words in Roster form
PRINCIPAL

If A = {1,2,3,4,5,7,9,11}, find n(A).

Are P = { x : –3 ≤ x ≤ 0, x ∈ Z} and Q = The set of all prime factors of 210, equivalent sets?

In a class of 50 students, each of the students passed either in mathematics or in science or in both. 10 students passed in both and 28 passed in science. Find how many students passed in mathematics only

In a class there are 50 students who are offered either History, geography or both. 35 were offered History and 10 were offered History and Geography both. How many students were offered Geography?

Out of 500 car owners investigated, 400 owned car A and 200 owned car B, 50 owned both A and B cars. Is this data correct?

Insert the appropriate symbol ∈ (belongs to) or ∉ (does not belong to) in the blanks.

Given that A = {1,3,5,7} B = {1,2,4,6,8}. Find
(i) AΔB and
(ii) BΔA

From the venn-diagram, list the following:

(i) A
(ii) B
(iii) A ∩ B
(iv) AU B
(v) A-B
(vi) B-A
(vii) (A - B) ∩ (B - A)

In a class there are 40 students. 26 have opted for Mathematics and 24 have opted for Science. How many student have opted for Mathematics and Science.

In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in atleast one subject. Find the total number of students who appeared in the examination, if they took examination in only two subjects.