Thread: Integer Inequality Proofs

Let m,n,p,q be elements of the Integers.

(i) If m < n then m+p < n+p

(ii) If m < n and p < q then m+p < n+q


Any help with the above proofs would be appreciated!

Originally Posted by jstarks44444

Let m,n,p,q be elements of the Integers.

(i) If m < n then m+p < n+p

(ii) If m < n and p < q then m+p < n+q


Any help with the above proofs would be appreciated!

Elementary properties of the integers and induction, first on the naturals then the whole thing

Tonio