Exercise 1,1 1. Observe the given Venn diagram and write the following sets by listing method. Also find every relation and operations and express them in separate Venn diagrams by shading 1. 8. 3. 10 y. AnB viii. U-B LAUB iii. AUB vii. U-A 2. If U- (a, b, e, d, e, f, g, h, i, j, k), ii. AnB vi. A-B v. AUB A-(a, c, d, f ), B-(g, h, i) and C- (e, i). (a) construct the following sets: ii. AnB i, AUB iv. ĀnB iAUB (b) which of the sets in Q. No. 2 (a) are equal and why? (c) construct the following sets and then express in a Venn diagram. ii. A 3. If U-(1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A (1, 2, 6, 7), B-(2, 3, 5, 6} and ii. B C-(4, 5, 6, 7), then verify that: i. AB-AUB i. (AUB)C-(AnC)U (BoC) 4. Ifu (1, 2, 3, 19, 20), P-x x is a prime number.) Q-ly: y, is a factor of 18) and R (z z, is a multiple of 3 less than 20) (a) prepare the list of the elements of the following sets by drawing 75

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Exercise 1,1
B.
4.
1. Observe the given Venn diagram and write the following
sets by listing method. Also find every relation and
operations and express them in separate Venn diagrams
by shading.
8.
10
LAUB
ii. AnB
iii. AUB
vii. U-A
v. AUE
2. If U-(a, b, c, d, e, f, g, h, i, j, k),
vi. A-B
viii. U-B
A-(a, c, d, f ), B-(g. h, i) and C- (e, i).
(a) construct the following sets:
i AUB
ii. AnB
ii, AUB
iv. AB
(b) which of the sets in Q. No. 2 (a) are equal and why?
(c) construct the following sets and then express in a Venn diagram.
ii. B
iii. A
3. If U- (1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A (1, 2, 6, 7), B- (2, 3, 5, 6} and
C-(4, 5, 6, 7), then verify that:
AUB-AnB
4. Ifu (1, 2, 3, 19, 20),
.AnB-AUB
i. (AUB)C-(AnC)u (BoC)
P-(x: x is a prime number.}
Q-ty: y, is a factor of 18) and
R-(z z, is a multiple of 3 less than 20}
(a) prepare the list of the elements of the following sets by drawing
756
Ko26
Transcribed Image Text:Exercise 1,1 B. 4. 1. Observe the given Venn diagram and write the following sets by listing method. Also find every relation and operations and express them in separate Venn diagrams by shading. 8. 10 LAUB ii. AnB iii. AUB vii. U-A v. AUE 2. If U-(a, b, c, d, e, f, g, h, i, j, k), vi. A-B viii. U-B A-(a, c, d, f ), B-(g. h, i) and C- (e, i). (a) construct the following sets: i AUB ii. AnB ii, AUB iv. AB (b) which of the sets in Q. No. 2 (a) are equal and why? (c) construct the following sets and then express in a Venn diagram. ii. B iii. A 3. If U- (1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A (1, 2, 6, 7), B- (2, 3, 5, 6} and C-(4, 5, 6, 7), then verify that: AUB-AnB 4. Ifu (1, 2, 3, 19, 20), .AnB-AUB i. (AUB)C-(AnC)u (BoC) P-(x: x is a prime number.} Q-ty: y, is a factor of 18) and R-(z z, is a multiple of 3 less than 20} (a) prepare the list of the elements of the following sets by drawing 756 Ko26
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