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Write each of these statements in the form "if p, then q” in English. a) It is necessary to wash the boss's car to get promoted b) Getting elected follows from knowing the right people. c) It is necessary to have a valid password to log on to the server. d) That you get the job implies that you had the best credentials.

Write each of these statements in the form "if p, then q” in English. a) It is necessary to wash the boss's car to get promoted b) Getting elected follows from knowing the right people. c) It is necessary to have a valid password to log on to the server. d) That you get the job implies that you had the best credentials.

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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9. Write each of these statements in the form "if p, then q” in English. a) It is necessary to wash the boss's car to get promoted b) Getting elected follows from knowing the right people. c) It is necessary to have a valid password to log on to the server. d) That you get the job implies that you had the best credentials. 10. 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 get an A in this course, it is necessary and sufficient that you learn how to solve discrete mathematics problems. c) It rains if it is a weekend day, and it is a weekend day if it rains. d) The trains run late on exactly those days when I take it. 11. State the converse, inverse, and contrapositive of each of these conditional statements. a) If it snows tonight, then I will stay at home. b) I come to class whenever there is going to be a quiz.
Transcribed Image Text:9. Write each of these statements in the form "if p, then q” in English. a) It is necessary to wash the boss's car to get promoted b) Getting elected follows from knowing the right people. c) It is necessary to have a valid password to log on to the server. d) That you get the job implies that you had the best credentials. 10. 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 get an A in this course, it is necessary and sufficient that you learn how to solve discrete mathematics problems. c) It rains if it is a weekend day, and it is a weekend day if it rains. d) The trains run late on exactly those days when I take it. 11. State the converse, inverse, and contrapositive of each of these conditional statements. a) If it snows tonight, then I will stay at home. b) I come to class whenever there is going to be a quiz.
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