Rewrite each of the following statements using the quantifie

Rewrite each of the following statements using the quantifiers “for all” (or “for every”) and “there exists” as appropriate.

1. All positive real numbers have real square roots.

2. There is no smallest positive real number.

Solution

1) For all positive numbers, there exists a square root.

2) For all positive real number a , there exists another positive real number b such that b<a