Solve this: Question No. 1 Use the following information to answer the next question. The sets A,B,C,D and E are defined as A={p,q,p,p,r,q,r,p,q,r} B= {x:x is a vowel in the word EDUCATION} C={16,25,36,49,64,81,100} D={x:x is a positive integer and 2x2 +7x -15=0} E= {x:x is a vowel in the English alphabet} F= ϕ G={r,p,r,r,p,q} H= {x:x is a two-digit perfect square } Which of the following relations is correct ?
Example 6:
Given set A = (x x is a natural number less than 10} and set B = {y: y is an even number less than 9}. Is set B a subset of set A? If yes then draw the Venn-diagram depicting the given sets.
Solution:
Given, A = (x, x is a natural number less than 10)
i.e A= {1,2,3,4,5,6,7,8,9,}
B = {y. y is an even number less than 9)
i.e., B={2,4,6,8,}
It is clear that B A.
Venn-diagram for BA is shown below:
Question No. 13
If N, the set of all natural number, is considered as the universal set, then what is the complement of the set
A. {1,2,3..........,a} {b,b+1,...}
B. {1,2,3..........,a-1} {b,b+1,...}
C. {1,2,3..........,a} {b+1,b+2,...}
D. {1,2,3..........,a-1} {b+1,b+2,...}
Question No.6
Use the following information to answer the next question.
Three sets, A,B, and C, are defined as
A={x:x=5n, nN and N<6}
B= {y:y=3n+1, nN, and n8}
C= {z:z=6n-2, nN, and n4}
Which set is equal to the set A- (BC)?
A. {5,15,20}
B. {5,15,20,25}
C. {4,5,15,16,22,25}
Question No. 4
For a non-empty set A and a null set , which one of the following relations is always correct?
A. A
B. {}A
C. A
D. = A
Solve this:
Question No. 1
Use the following information to answer the next question.
The sets A,B,C,D and E are defined as
A={p,q,p,p,r,q,r,p,q,r}
B= {x:x is a vowel in the word EDUCATION}
C={16,25,36,49,64,81,100}
D={x:x is a positive integer and 2x2 +7x -15=0}
E= {x:x is a vowel in the English alphabet}
F=
G={r,p,r,r,p,q}
H= {x:x is a two-digit perfect square }
Which of the following relations is correct ?
Q.14. For any set A, B and C show that
(ABC) (AB'C') C' = B C'
Q. Solve for x:
(a)