Express the following set in set-builder notation.
B = {16,17,18,19,20,21,22,23}
Solution:-
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}.