# Logic and Truth Values

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.

https://brainmass.com/math/discrete-math/logic-truth-values-236840

#### Solution Preview

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 ...

#### Solution Summary

Truth values are determined.

$2.19