Mathematics, 18.02.2020 01:31 maritzahernandez32
Prove each of the following statements below using one of the proof techniques and state the proof strategy you use.
a. The product of an odd and even integer is even.
b. Let m and n be integers. Show that if mn is even, then m is even or n is even.
c. If r is a nonzero rational number and p is an irrational number, then rp is irrational.
d. For all real numbers a, b, and c, max(a, max(b, c)) = max(max(a, b),c).
e. If a and bare rational numbers, then ab is rational too.
f. If a and bare two distinct rational numbers, then there exists an irrational number between them.
g. If m +n and n+p are even integers where m, n, p are integers, then m +p is even.
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