Problem

Answer Exercise with A and B as follows.A: “There exists a real number y such that y >...

Answer Exercise with A and B as follows.

A: “There exists a real number y such that y > x for every real number x.”

B: “For every real number x, there exists a real number y such that y > x.”

[BB] Consider the assertions

A: “For every real number x, there exists an integer n such that n ≤ x < n + 1.”

B: “There exists an integer n such that n x < n+1 for every real number x."

One of these assertions is true. The other is false. Which is which? Explain

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