Question

Use set-builder notation to describe the following sets:

(a) {1, 2, 3, 4, 5, 6, 7}
(b) {1, 10, 100, 1000, 10000}
(c) {1, 12, 13, 14, 1/5, ...}
(d) {0}

Answer 1

You can describe the sets using set-builder notation.

Step-by-step explanation:

(a) The set {1, 2, 3, 4, 5, 6, 7} can be described using set-builder notation as x . This notation indicates that the set includes all values of x such that x is greater than or equal to 1 and less than or equal to 7.

(b) The set {1, 10, 100, 1000, 10000} can be described using set-builder notation as x is a power of 10 up to 10,000. This notation specifies that the set consists of all values of x that are powers of 10 and do not exceed 10,000.

(c) The set {1, 12, 13, 14, 1/5, ...} can be described using set-builder notation as x is an element in the sequence 1, 12, 13, 14, 1/5, .... This notation represents the set containing all elements x that belong to the given sequence.

(d) The set {0} can be described using set-builder notation as {0}. This notation simply states that the set contains the single element 0.