Determine whether each statement is true or false. If the statement is false, ma

Question

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Some sets that can be written in set-builder notation cannot be written in roster form. Select the correct answer below. True. Some sets cannot be put into a list and still include all the elements in the set. False. No set written in set-builder notation can be written in roster form. False. All sets that can be written in set-builder notation cannot be written in roster form. True. The roster method is not a valid way to describe a set.

Explanation / Answer

A. True (example : set of rational numbers between 1 and 2 can not be written in roaster form as elements between 1 & 2are infinite)

B. False, some sets written in set-builder form can also be written in roaster form (example : A = {n | n < 5, n N} or A = {1, 2, 3, 4}

C. True, all sets can be written in set-builder form but not all in roaster form (example same as of part A)

D. False, the roaster method is also a valid method besides set-builder method to describe a set.

I hope to have clarified satisfactorily.

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