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For each of the statements in 4-6, decide if the statement is true or false. If the statement is true, prove it by providing a direct proof, if the statement is false disprove it by giving a counter example. 4. If A, B and C are sets such that AUB=AUC, then B=C. 5. If a,b,c N and ab, be and ac all have the same parity, then a,b and c all have the same parity. 6. Suppose a is an integer. If 3|2a, then 3|a.

For each of the statements in 4-6, decide if the statement is true or false. If the statement is true, prove it by providing a direct proof, if the statement is false disprove it by giving a counter example. 4. If A, B and C are sets such that AUB=AUC, then B=C. 5. If a,b,c N and ab, be and ac all have the same parity, then a,b and c all have the same parity. 6. Suppose a is an integer. If 3|2a, then 3|a.

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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For each of the statements in 4-6, decide if the statement is true or false. If the statement is true, prove it by providing a direct proof, if the statement is false disprove it by giving a counter example. 4. If A, B and C are sets such that AUB=AUC, then B=C. 5. If a, b, c E N and ab, be and ac all have the same parity, then a,b and c all have the same parity. 6. Suppose a is an integer. If 3|2a, then 3|a.
Transcribed Image Text:For each of the statements in 4-6, decide if the statement is true or false. If the statement is true, prove it by providing a direct proof, if the statement is false disprove it by giving a counter example. 4. If A, B and C are sets such that AUB=AUC, then B=C. 5. If a, b, c E N and ab, be and ac all have the same parity, then a,b and c all have the same parity. 6. Suppose a is an integer. If 3|2a, then 3|a.
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