Question

12. If D = (x:x is divisible by 2 and 3 and 0 < x < 20)
and B = {x: x is a multiple of 6 and 0 < x < 25)
then D-Bis
1) {}
(3) (6, 12)
(2) {2,3)
(4) {6, 12, 18)​

Answer 1

Answer:

1) { }

Step-by-step explanation:

D = ( x:x is divisible by 2 and 3 and 0< x <20)

= { 6, 12 , 18}

B = ( x: x ia a multiple of and 0< x < 0)

= { 6 , 12, 18}

So , D - B = { }

Answer 2

The answer is option (1) { }

Given: D = {x:x is divisible by 2 and 3 and 0 < x < 20 }

B = {x: x is a multiple of 6 and 0 < x < 25 }

To find: D - B using above sets

Solution:

From given data

D is set of numbers which are divisible by 6 (∵ 3×2=6) and x < 20

⇒ D = {6, 12, 18 }

B is a set of numbers which are multiple of 6 and x < 25

⇒  B = {6, 12, 18, 24}

⇒ D - B = {6, 12, 18 } -  {6, 12, 18, 24} = { }  = ∅

Therefore, the answer is 1) { }

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