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Write this statement using the logical symbols

WannaBe

New member
Oct 4, 2013
11
every integer is a product of two integers.

My Solution:

∀ n,o,p E Z, n = o*p E Z

Is this correct?
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,780
every integer is a product of two integers.

My Solution:

∀ n,o,p E Z, n = o*p E Z

Is this correct?
Hi WannaBe, welcome to MHB! :)

Let's see...

Your solution reads in English:
for all integers n, o, p holds that n is equal to o times p, which is an integer.​

Suppose we pick n=2, o=2, p=2, which satisfies the condition that they are integers.
Can we say that n = o * p?