3. Referring to the four sets given in Prob. 2, find: (a) S₁ U Sz (c) S₂ S3 (b) S₁ U S3 (d) S₂ S4 4. Which of the following statements are valid? (a) AU A = A (b) An A = A (c) AU=A (d) AUU = U (e) An0=0 (f) ANU = A (e) S4 M 5₂ 17 S₁ (F) S3 U S1 U S4 (g) The complement of à is A.

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Question
Q4
3. Referring to the four sets given in Prob. 2, find:
(a) S₁ U Sz
(c) S₂ S3
(b) S₁ U S3
(d) S₂
S4
4. Which of the following statements are valid?
(a) AU A = A
(b) An A = A
(c) AU=A
(e) S4 M 5₂ 17 S₁
(F) S3 U Sq U S4
(g) The complement of
à is A.
(d) AUU = U
(e) An0=0
(f) ANU = A
5. Given A (4, 5, 6), B = {3, 4, 6, 7), and C = (2, 3, 6), verify the distributive law.
6. Verify the distributive law by means of Venn diagrams, with different orders of succes-
sive shading.
7. Enumerate all the subsets of the set {5, 6, 7).
8. Enumerate all the subsets of the set S= (a, b, c, d). How many subsets are there
altogether?
Transcribed Image Text:3. Referring to the four sets given in Prob. 2, find: (a) S₁ U Sz (c) S₂ S3 (b) S₁ U S3 (d) S₂ S4 4. Which of the following statements are valid? (a) AU A = A (b) An A = A (c) AU=A (e) S4 M 5₂ 17 S₁ (F) S3 U Sq U S4 (g) The complement of à is A. (d) AUU = U (e) An0=0 (f) ANU = A 5. Given A (4, 5, 6), B = {3, 4, 6, 7), and C = (2, 3, 6), verify the distributive law. 6. Verify the distributive law by means of Venn diagrams, with different orders of succes- sive shading. 7. Enumerate all the subsets of the set {5, 6, 7). 8. Enumerate all the subsets of the set S= (a, b, c, d). How many subsets are there altogether?
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