Let P: "If all their tomorrows are better than all their yesterdays, then they are the most successful people", The negation of P is: a) "all their tomorrows are worse than their yesterdays" and they are the most successful people. b) "some of their tomorrows are worse than their yesterdays" and they are the most successful people. c) "all their tomorrows are better than their yesterdays" and they are not the most successful people. d) none of mentioned

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
Question

I need help with this problem and an explanation for the solution described below (Discrete mathematics):

Let P: "If all their tomorrows are better than all their yesterdays, then they are the most successful people", The negation of P is:
a) "all their tomorrows are worse than their yesterdays" and they are the most successful people.
b) "some of their tomorrows are worse than their yesterdays" and they are the most successful people.
c) "all their tomorrows are better than their yesterdays" and they are not the most successful people.
d) none of mentioned
Transcribed Image Text:Let P: "If all their tomorrows are better than all their yesterdays, then they are the most successful people", The negation of P is: a) "all their tomorrows are worse than their yesterdays" and they are the most successful people. b) "some of their tomorrows are worse than their yesterdays" and they are the most successful people. c) "all their tomorrows are better than their yesterdays" and they are not the most successful people. d) none of mentioned
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