Finite Set

Q.

What is the meaning of void set?

Q.

If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find :

(i) $A\cap B$ (ii) $B\cap C$

(iii) $A\cap C\cap D$ (iv) $A\cap C$

(v) $B\cap D$ (vi) $A\cap (B\cup C)$

(vii) $A\cap D$ (viii) $A\cap (B\cup D)$

(ix) $(A\cap B)\cap (B\cup C)$

(x) $(A\cup D)\cap (B\cup C)$

Q.

A set {$10,20,30,40,50$} is finite or not.

Q. Which of the following sets is a finite set?

1. Set of all prime numbers less than $50.$
2. Set of all prime numbers greater than $50.$
3. $\{1,3,5,7,...,49,51\}$

Q.

Write the contrapositive and converse of the following statements.

(i) If x is a prime number, then x is odd.

(ii) If the two lines are parallel, then they do not intersect in the same plane.

(iii) Something is cold implies that it has low temperature.

(iv) You cannot comprehend geometry if you do not know how to reason deductively.

(v) x is an even number implies that x is divisible by 4.

Q.

Write the contrapositive of the following statement.
'If x is prime number, then x is odd'.

Q.

State whether given set is finite or infinite.

$\{-2,-1,0,1,2,3,4,.........\}$