Problem 1001

Express the following set in  set-builder notation.

B = {16,17,18,19,20,21,22,23}




When a set is named using set builder notation, specify the conditions under which a number is an element of the set.

To translate B = {16,17,18,19,20,21,22,23} into set-builder notation, first note that all of the number in B are natural that are less than or equal to 23 and greater than or equal to 16.

Set B includes all natural numbers that are greater than or equal to 16 and less than or equal to 23.

Therefore, B can be written in the following way in set- builder notation.

B = {x I x Є N and 16 ≤ x ≤ 23}

Note that another correct expression for B is B = {x I x  Є N and 15 < x < 24}.


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