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Let Q(x) be the statement “x < 5.” What is the truth value of the quantification ∀xQ(x), having domains as real numbers.
  • a)
    True
  • b)
    False
Correct answer is option 'B'. Can you explain this answer?
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Let Q(x) be the statement “x < 5.” What is the truth va...
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Let Q(x) be the statement “x < 5.” What is the truth va...
Clarification: Q(x) is not true for every real number x, because, for instance, Q(6) is false. That is, x = 6 is a counterexample for the statement ∀xQ(x). This is false.
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Let Q(x) be the statement “x < 5.” What is the truth value of the quantification ∀xQ(x), having domains as real numbers.a)Trueb)FalseCorrect answer is option 'B'. Can you explain this answer?
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