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### Grade 8 - Mathematics4.27 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 x£5}. 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.
 Q 1: E = {-4,-3,-2,-1,0,1,2,3,4}, write this in set builder form.E = {x/x Î Integers, -5 < x < 5}E = {x/x Î Integers, -5 = x = 5}E = {x/x Î Integers, -5 > x < 5} Q 2: 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 3: 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} Q 4: Q = {0,1,2,3,4,5,6}, write this in set builder form.Q = {x/x is a whole number and x = 7}Q = {x/x is a whole number and x > 7}Q = {x/x is a whole number and x < 7} Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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