Question

Describe the following sets by using specified Method.
A={ all possible numbers formed by any of the digits 1,2,5}
Tabular form
Set builder form
Cardinal number

B= { all square numbers between 101 and 200 }

Tabular form
Set builder form
Cardinal number

B={ x:x is a month of the year}

Tabular form
Descriptive form
Cardinal number

Answer 1

1.

A = { all possible numbers formed by any of the digits 1, 2, 5 }

1. Tabular form: A = {1, 2, 5, 12, 15, 25, 21, 51, 52, 125, 152, 215, 251, 512, 521}
2. Set builder form: A = {x : x is a number formed by any of the digits 1, 2, 5}
3. Since there are 15 elements in set A, thus the cardinal number of set A is 15.

2.

B = { all square numbers between 101 and 200 }

1. Tabular form: B = {121, 144, 169, 196}
2. Set builder form: B = {x : x is a square number, 101 < x < 200}
3. Since there are 4 elements in set B, thus the cardinal number of set B is 4.

3.

B = {x : x is a month of the year}

• Tabular form: B = {January, February, March, April, May, June, July, August, September, October, November, December}
• Descriptive form: B = { the months in a year }
• Since there are 12 elements in set B, the cardinal number of set B is 12.

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(A) { x:x is an integer and x2 > 0}

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(C) {x:x is an integer and x2 = x}

(D) A = {x:x is an integer less than 20}

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