Question

list the elements of the following set.(1) G={all the factors of 20}, F={the multiples of 4 between 17 and 61 which are divisible by 7?​

Answer 1

(i) G = all the factors of 20

2*2*5=20

1*20=20

2*10=20

4*5=20

(-1)*(-20)=20

(-4)*(-5)=20

(-2)*(-10)=20

So,{-1,-2,-4,-5,-10,1,2,4,5,10}

(ii) F = the multiples of 4 between 17 and 61 which are divisible by 7

     numbers  between 17 and 61 which are divisible by 7 are         21,28,35,42,49,56

multiple of 4 are 28 and 56.

So, {28,56}

(iii) S = {x : x is a letter in the word 'MADAM'}

 {A,D,M}

(iv) P = {x : x is a whole number between 3.5 and 6.7}

Set of whole numbers ( W )

= { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 ,....}

Between 3.5 and 6.7 are

{4,5,6}

Because 4>3.5 and 6<6.7

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