5. If p and q are positive integers, then {pn:neN} n {qn:n €N} ‡ Ø. 6. Suppose A, B and C are sets. Prove that if AB, then A-C≤B-C. 7. Suppose A, B and C are sets. If B≤C, then Ax B≤AXC. 8. If A,B and C are sets, then Au(BnC)=(AUB) n(AUC). 9. If A, B and C are sets, then An(BUC)=(AnB)u(ANC). 10. If A and B are sets in a universal set U, then AnB=AUB. TC D 7-7
5. If p and q are positive integers, then {pn:neN} n {qn:n €N} ‡ Ø. 6. Suppose A, B and C are sets. Prove that if AB, then A-C≤B-C. 7. Suppose A, B and C are sets. If B≤C, then Ax B≤AXC. 8. If A,B and C are sets, then Au(BnC)=(AUB) n(AUC). 9. If A, B and C are sets, then An(BUC)=(AnB)u(ANC). 10. If A and B are sets in a universal set U, then AnB=AUB. TC D 7-7
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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ANSWER #9 ONLY
Transcribed Image Text:5. If p and q are positive integers, then {pn:neN} n {qn:n €N} #ø.
6. Suppose A,B and C are sets. Prove that if A≤B, then A-C<B-C.
7. Suppose A,B and C are sets. If B≤C, then A x B=AXC.
8. If A, B and C are sets, then Au(BnC)=(AUB)n(AUC).
9. If A, B and C are sets, then An (BUC)=(AnB)u(ANC).
10. If A and B are sets in a universal set U, then AnB=AUB.
11
AD 7-7
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