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1. If AnB = A, then A = B. 2. Suppose A, B,C # Ø, if A # B and B÷C, then A # C. 3. The set {Ø} is a null set.

1. If AnB = A, then A = B. 2. Suppose A, B,C # Ø, if A # B and B÷C, then A # C. 3. The set {Ø} is a null set.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Could you please help me to answer these questions? TRUE or FALSE. Thank you.
1. If AnB = A, then A = B. 2. Suppose A, B,C + Ø, if A + B and B+C, then A # C. 3. The set {Ø} is a null set. If ACB and AC C, then BnC + A. 4. 5. If A is a finite set and B is an infinite set, then Ax B is a finite set. 6. Let A, B + Ø. A relation from A to B is a subset of the Cartesian product between A and B. .7. For any sets A and B, (AU B)C = A©U B© 8. The set {1} is equivalent to the set {Ø}. If A = {0, {Ø},Ø} and B = {Ø}, then AnB = {Ø}. 9. 10. The set Y = {(a,f), (b, f), (c, f), (f: f)} is a function.
Transcribed Image Text:1. If AnB = A, then A = B. 2. Suppose A, B,C + Ø, if A + B and B+C, then A # C. 3. The set {Ø} is a null set. If ACB and AC C, then BnC + A. 4. 5. If A is a finite set and B is an infinite set, then Ax B is a finite set. 6. Let A, B + Ø. A relation from A to B is a subset of the Cartesian product between A and B. .7. For any sets A and B, (AU B)C = A©U B© 8. The set {1} is equivalent to the set {Ø}. If A = {0, {Ø},Ø} and B = {Ø}, then AnB = {Ø}. 9. 10. The set Y = {(a,f), (b, f), (c, f), (f: f)} is a function.
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