Write each of these propositions in the form "p if and only if q" in English. (a) If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside. (b) For you to win the contest it is necessary and sufficient that you have the only winning ticket. (c) You get promoted only if you have connections, and you have connections only if you get promoted. (d) If you watch television your mind will decay, and conversely. (e) The trains run late on exactly those days when I take it.

Write each of these propositions in the form "p if and only if q" in English. (a) If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside. (b) For you to win the contest it is necessary and sufficient that you have the only winning ticket. (c) You get promoted only if you have connections, and you have connections only if you get promoted. (d) If you watch television your mind will decay, and conversely. (e) The trains run late on exactly those days when I take it.

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Description: Write each of these propositions in the form "p if and only if q" in English.(a) If it is hot outside you buy an ice cream cone, and if you buy an icecream cone it is hot outside. (b) For you to win the contest it is necessaryand sufficient that you

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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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Write each of these propositions in the form "p if and only if q" in English.
(a) If it is hot outside you buy an ice cream cone, and if you buy an ice
cream cone it is hot outside. (b) For you to win the contest it is necessary
and sufficient that you have the only winning ticket. (c) You get promoted
only if you have connections, and you have connections only if you get
promoted. (d) If you watch television your mind will decay, and conversely.
(e) The trains run late on exactly those days when I take it.

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