Question No 4 Prove that there is not smallest positive real

Question No. 4: Prove that there is not smallest positive real number. Hint: Try proof by contradiction.

Solution

say x is the smallest positive real number.

we can divide x by 10 to get x/10 which is again positive.

We know x/10 is less than x.

which contradicts our assumption that x is smallest.

Hence it is proved that there is not smallest positive real number.