Ql: give another description of the following sets 1. {x: x is an integer, 15< x < 25} 2. all the river in the world 3. all days of the weak

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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DIZAVD O TVAB/s
تمارین.pdf
Q1: give another description of the following sets
1. {x: x is an integer, 15< x < 25}
2. all the river in the world
3. all days of the weak
Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}]
Show that A, H and G are mutually disjoint
Q3: Let A= {a, b, c}, B= {b, d, e}, U= {a, b, c, d, e} find
1. A U B
2. ВС
3. AC N B
4. АC О ВС
5. (An B)°
б. В ПА
7. B\A
8. A\В
9. A U BC
10. ВС\4C
11. (A U B)°
Q4: write the dual of each set equation
1. (A U B) U (A n Bº) = A U Ø
2. (A U Ø) n (B U A) = A
Q5: determine the power set P(A) of A= {1, a, 4, c, 7}
Q6: determine whether each of the following is true or false
A= [{1, 2 ,3}, {4 ,5}, {6,7 ,8}]
1. 1 E A
2. {1,2 ,3} c A
3. {6,7 ,8} € A
4. ФСА
5. Ø ¢ A
Q7: 36 students took English and mathematic test,25 passed English and
Transcribed Image Text:DIZAVD O TVAB/s تمارین.pdf Q1: give another description of the following sets 1. {x: x is an integer, 15< x < 25} 2. all the river in the world 3. all days of the weak Q2: if A= [{1,2},{3}], H= [{1}, {2,3}], G= [{1,3}, {2}] Show that A, H and G are mutually disjoint Q3: Let A= {a, b, c}, B= {b, d, e}, U= {a, b, c, d, e} find 1. A U B 2. ВС 3. AC N B 4. АC О ВС 5. (An B)° б. В ПА 7. B\A 8. A\В 9. A U BC 10. ВС\4C 11. (A U B)° Q4: write the dual of each set equation 1. (A U B) U (A n Bº) = A U Ø 2. (A U Ø) n (B U A) = A Q5: determine the power set P(A) of A= {1, a, 4, c, 7} Q6: determine whether each of the following is true or false A= [{1, 2 ,3}, {4 ,5}, {6,7 ,8}] 1. 1 E A 2. {1,2 ,3} c A 3. {6,7 ,8} € A 4. ФСА 5. Ø ¢ A Q7: 36 students took English and mathematic test,25 passed English and
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