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Circle your answer. Justify your answer in the space below each problem. Be sure

ID: 3123658 • Letter: C

Question

Circle your answer. Justify your answer in the space below each problem. Be sure I can tell from your Justification that you known any definition, meanings of symbols, and how to perform any operations yo4ur justification that you know any definitions meanings of symbols, and to involved. You may use a diagram but your explanation needs to be in sentences using words. Show what numbers you use in computations and do the actual work on your calculator. If a problem involves fractions, please use fractions! Do NOT change to percents unless requested as part of the problem. Please, pretty please, pay attention to details such as spelling, punctuation, and grammar. Round to the nearest 100th where necessary. The product of any two rational numbers will always be greater than either of the two factors.

Explanation / Answer

Statement is : The product of two rational numbers will always be greater than either of the two factors.

This statement is false.

Let two rational numbers be p and q.

Let p < 0 and q > 0

We have product = pq < 0

Since q > 0 and pq < 0

=> q > pq

Thus one of the factors can be greater then the product.