A student asserted that n2 is greater than or equal to n for

A student asserted that n^2 is greater than or equal to n for all real numbers n. Of the following, which is a value of n that provides a counterexample to the student\'s claim? -1/2 0 1/2 2

Solution

If the student considered n² >- n then

a) 1/4 is greater than -1/2

b)0 cannot be greater than itself

c)1/4 is not greater than 1/2

d) 2² is greater than 2=4 is greater than 2

a) and d) gives satisfies the condition but we choose 2 since it is real number and is valid compared to a fraction that is 1/2