B. Determine whether each statement is correct by use of inductive reasoning. Write CORRECT if the conjecture (and write NONE in the counterexample) is true and WRONG if otherwise. If It is wrong, give a counterexample (an example which wll make the statement false).B. TRUE or FALSE. Determine whether each statement is correct by use of inductive reasoning. 1 When two even integers are multipliec, the resulting product is also an ever integer. Answer:Blank 1 Cnunterexample:Blank 2 Blank 1 Adu your answer Blank 2 Ade your answer 2 When two incegers, one even and one odd, are multiplied, the resulting product is un even integer. Answer: Blank 1 Counterexample:Blank 2 Blank 1 Ade your answer Blank 2 Acdo your answer 3 When two odd incegers are mu tiplied, the resulting product Is ar ode integer. Answer: Blank 1 Cnunterexample: Blank 2 Blank 1 Adu your answer Blank 2 Ade your answer

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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What are the correct answers in the blanks?
B. Determine whether each statement is
correct by use of inductive reasoning. Write
CORRECT if the conjecture (and write NONE in
the counterexample) is true and WRONG if
otherwise. If it is wrong, give a
counterexample (an example which will make
the statement false).B. TRUE or FALSE.
Determine whether each statement is correct
by use of inductive reasoning.
1
When two even integers are multipliec, the resulting
product is also an ever integer
Arnswer:Blank 1
Cnunterexample:Blank 2
Blank 1 Adu your arnswer
Blank 2
Adc your answer
2
When two integers, one even and one odd, are multiplied,
the resulting product is an even integer.
Answer: Blank 1
Counterexample:Blank 2
Blank 1
Ade your answer
Blank 2 Acle your answer
3
When two odd integers are mu tiplicd, the resulting product
Is an odc integer.
Answer: Blank 1
Counterexample: Blank 2
Blank 1
Ado your answer
Blank 2
Adc your answer
4
Choose any integer. Multiply the chosen integer by 6.
Subtract 8 to the product Then after that, civide the
difference by 2. Add 4 to the quotient. The resuiting integer is
tirice the original integer
Answer: Blank 1
Counterexample: Blank 2
Blank 1
Adc your answer
Blank 2 Ade your answer
Choose any integer. Multiply the integer by 8. After that,
Increase the product by 4. Ther get ha fof the resulting
sum. Then decresse the quctient by 2. The resulting integer is
tivee tines the originat integer
Answer: Blank 1
Cuuntercxarmple: Blank 2
Blank 1 Ade your answer
Blank 2 Adc your answer
Transcribed Image Text:B. Determine whether each statement is correct by use of inductive reasoning. Write CORRECT if the conjecture (and write NONE in the counterexample) is true and WRONG if otherwise. If it is wrong, give a counterexample (an example which will make the statement false).B. TRUE or FALSE. Determine whether each statement is correct by use of inductive reasoning. 1 When two even integers are multipliec, the resulting product is also an ever integer Arnswer:Blank 1 Cnunterexample:Blank 2 Blank 1 Adu your arnswer Blank 2 Adc your answer 2 When two integers, one even and one odd, are multiplied, the resulting product is an even integer. Answer: Blank 1 Counterexample:Blank 2 Blank 1 Ade your answer Blank 2 Acle your answer 3 When two odd integers are mu tiplicd, the resulting product Is an odc integer. Answer: Blank 1 Counterexample: Blank 2 Blank 1 Ado your answer Blank 2 Adc your answer 4 Choose any integer. Multiply the chosen integer by 6. Subtract 8 to the product Then after that, civide the difference by 2. Add 4 to the quotient. The resuiting integer is tirice the original integer Answer: Blank 1 Counterexample: Blank 2 Blank 1 Adc your answer Blank 2 Ade your answer Choose any integer. Multiply the integer by 8. After that, Increase the product by 4. Ther get ha fof the resulting sum. Then decresse the quctient by 2. The resulting integer is tivee tines the originat integer Answer: Blank 1 Cuuntercxarmple: Blank 2 Blank 1 Ade your answer Blank 2 Adc your answer
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