Let P stand for “the integer x is even,” and let Q stand for “x^2 is even.” Express the conditional statement Q -> P in English using (a) The “if then” form of the conditional statement (b) The word “implies” (c) The “only if” form of the conditional statement (d) The phrase “is necessary for” (e) The phrase “is sufficient for”
Let P stand for “the integer x is even,” and let Q stand for “x^2 is even.” Express the conditional statement Q -> P in English using (a) The “if then” form of the conditional statement (b) The word “implies” (c) The “only if” form of the conditional statement (d) The phrase “is necessary for” (e) The phrase “is sufficient for”
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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Let P stand for “the integer x is even,” and let Q stand for “x^2 is even.”
Express the conditional statement Q -> P in English using
(a) The “if then” form of the conditional statement
(b) The word “implies”
(c) The “only if” form of the conditional statement
(d) The phrase “is necessary for”
(e) The phrase “is sufficient for”
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P: the integer x is even
Q: x^2 is even
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