To find: the reason that the inequality symbol does need to be reversed when multiplying or dividing by a negative number.
Answer to Problem 49HP
Explanation of Solution
Given information:
Calculation:
Consider the numbered line that numbers are “climbing” from negative to positive. For example
Sufficient proof would look like this:
Let’s take
Given proposition is obviously true, now let’s prove it.
Now, if add
So, it’s can’t be true statement, giving that on the beginning that
Therefore, proven the proposition.
Chapter 1 Solutions
Algebra 2
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