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a) Which of the following statements are true! (a planations of your answers. i) If a and b are even, then ab is even. ii) If a and b are odd, then ab is odd. iii) If ab is odd, then a and b are both odd. iv) If ab is even, then a and b are both even. D for doeling

a) Which of the following statements are true! (a planations of your answers. i) If a and b are even, then ab is even. ii) If a and b are odd, then ab is odd. iii) If ab is odd, then a and b are both odd. iv) If ab is even, then a and b are both even. D for doeling

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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a) Which of the following statements are true? (a and b are integers.) Give informal ex- planations of your answers. i) If a and b are even, then ab is even. ii) If a and b are odd, then ab is odd. iii) If ab is odd, then a and b are both odd. iv) If ab is even, then a and b are both even. b) Formulate correct principles, similar in style to those of part i), for dealing with sums of odd and even integers.
Transcribed Image Text:a) Which of the following statements are true? (a and b are integers.) Give informal ex- planations of your answers. i) If a and b are even, then ab is even. ii) If a and b are odd, then ab is odd. iii) If ab is odd, then a and b are both odd. iv) If ab is even, then a and b are both even. b) Formulate correct principles, similar in style to those of part i), for dealing with sums of odd and even integers.
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