Homework Statement
http://img99.imageshack.us/img99/7967/73673315fq3.jpg
The Attempt at a Solution
I am quite confused as to how to define the function. Any help would be appreciated.
Homework Statement
A, B, C and D are sets
if A x B is a subset of C x D then A is a subset of C and B is a subset of D.
The Attempt at a Solution
My attempt by contraposition.
Assume A is not a subset of C or B is not a subset of D. There exists an 'a' which is an element of A...
Homework Statement
http://img87.imageshack.us/img87/469/17317851uu7.jpg
Homework Equations
The Attempt at a Solution
First I have to show that P(1) is true
|a1| ≤ |a1| This is true
Assume above is true for all n.
Show that
|∑i=1n+1 ai| ≤ n+1∑i=1 |ai|...
Homework Statement
I'm starting an introductory course in "Advanced math" and need a little homework guidance please.
The question: Let a, b, and q be natural numbers, and q > 1. Prove that if q has the property: q divides a or q divides b whenever q divides ab, then q is prime...