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Logic and Truth Values

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Let P(m,n) be the statement n ≥ m, where the universe of discourse for m and n is the set of nonnegative integers. What is the truth value of ?
A) True
B) False

Let P(m,n) be the statement n ≥ m, where the universe of discourse for m and n is the set of nonnegative integers. What is the truth value of ?
A) True
B) False

7x3 IS O(x4), given:
A) x is an integer.
B) C ≥ 7.
C) k = 7.
D) none of the above.

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Solution Summary

Truth values are determined.

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1. B, false
The statement means there exists an n, such that for any m, P(n,m) is true or n>=m is true.
But we can find m = n+1, n<m, thus P(n,m) is false. So ...

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