Question

Write the set in set-builder notation: {17, 18, 19, 20}

A) x .
B) x .
C) {17, 18, 19, 20}.
D) x is an integer between 16 and 21.

Answer 1

The correct set-builder notation for the set {17, 18, 19, 20} is x is an integer between 17 and 20, which corresponds to option B.

Step-by-step explanation:

The set {17, 18, 19, 20} can be represented in set-builder notation as x . This notation reads as "the set of all x such that x is an integer and x is greater than or equal to 17 and less than or equal to 20." Therefore, the correct answer from the options provided is B) x is an integer between 17 and 20.

Option A) does not specify the lower bound, and the set includes 17 which is not less than 17. Option C) is not using set-builder notation but simply enumerates the elements. Option D) includes integers that are outside of the range 17 to 20, as it incorrectly suggests that the set contains numbers between 16 and 21, exclusive.