Determine whether the statement is true or false. Modify each false statement to make it a true statement. The product of any two positive integers is a positive integer. Is the statement "The product of any two positive integers is a positive integer." true or false? O A. True O B. False; the product of any two positive integers is a negative integer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section: Chapter Questions
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Determine whether the statement is true or false. Modify each false statement to make it a true statement.
The product of any two positive integers is a positive integer.
Is the statement "The product of any two positive integers is a positive integer." true or false?
A. True
B. False; the product of any two positive integers is a negative integer.
Transcribed Image Text:Determine whether the statement is true or false. Modify each false statement to make it a true statement. The product of any two positive integers is a positive integer. Is the statement "The product of any two positive integers is a positive integer." true or false? A. True B. False; the product of any two positive integers is a negative integer.
Expert Solution
Step 1

We have to determine whether the statement, "The product of any two positive integers is a positive integers." is true or false.

Let the first positive integer is a and the second positive integer is b that is a>0 and b>0

Then product of the these two integers are also positive.

 That is a×b=ab>0.

For example:- Let the first positive integer is 2 and the second positive integer is 5.

Then its product 2×5=10 is also positive. 

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