Concept explainers
To show: It is impossible for three consecutive integers to have a sum that is 200 more than the smallest integer.
Answer to Problem 19P
The assumption is false
Explanation of Solution
Given information:
To show it is impossible for three consecutive integers to have a sum that is 200 more than the smallest integer.
Let the smallest integer be
Then the other two integers will be
Let us assume that it is true
According to the question,
Subtract
Subtract 200 from each side,
Divide each side by -2
s
which is not an integer, hence assumption is false
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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