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Grade 8 - Mathematics
4.27 Set Builder Form

Set builder form:
This method is also known as Property method. In this method, a set is represented by stating all the properties which are satisfied by the elements of the set and not by any other element. If A contains all values of 'x' for which the condition P(x) is true, then we write A = {x: P(x)}.
While writing in the Roster form we write an element only once even though it is repeated any number of times.
Example:
A = {2,4,6,8,10} write this set in set builder form.
Solution:
A = {x/x is even and x<12}.
or
A = {2x/x is a natural number and x5}.

Note: There may be more than one way to represent a set in set builder form.


Directions: Write the given sets in set builder form. Also write at least ten examples of your own.

Name: ___________________

Date:___________________

Grade 8 - Mathematics
4.27 Set Builder Form

Q 1: A = {1,3,5,7}, write this in set builder form.
A = {x/x is an odd number less than 9}
A = {x/x is an even number less than 9}

Q 2: A = {a,e,i,o,u}, write this in set builder form.
A = {x/x is a vowel in English Alphabet}
A = {x/x is a consonant in English Alphabet}

Q 3: A = {1,4,9,16,25}, write this in set builder form.
A = {x2/x N, x > 6}
A = {x2/x N, x = 6}
A = {x2/x N, x < 6}

Q 4: B = {1,3,5,7,9,11,13}, write this in set builder form.
B = {x/x is an odd number x = 14}
B = {x/x is an odd number x > 14}
B = {x/x is an odd number x < 14}

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