Provide an appropriate response.Sheila notes that if a = 20 and b = 20, then a - b = b - a = 0. She concludes that for any real numbers a and b, a - b = b - a . Do you agree with her reasoning? If not, why not?

What will be an ideal response?


a - b is not equal to b - a for any a and b. In fact a - b is equal to b - a only if a = b . Sheila has stated that a - b = b - a for all real numbers a and b. To disprove this statement, it is sufficient to find one counterexample. 
One possible counterexample is a = 2, b = 6. Then a - b = -4, but b - a = 4.

Mathematics

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A.
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