Question

A x xisthemultipleof between and whichis also d  : 3 5 20 9 ivisibleby 

B x xis positive eger and is a divisor of  : int 18

i) Find A-B and B-A. What do you observe?

ii) Also represent this problem through venn diagram​

Answer 1

SOLUTION

GIVEN

A = {x.x is the multiple of 3 between 5 and 20 which is also divisible by 9

B = {x:x is a positive integer and is a divisor of 18}

TO DETERMINE

(1) Find A-B and B-A. What do you observe?

Also represent this problem through venn diagram.

EVALUATION

Here it is given that

A = {x.x is the multiple of 3 between 5 and 20 which is also divisible by 9 }

∴ A = { 9 , 18 }

B = {x:x is a positive integer and is a divisor of 18}

∴ B = { 1 , 2 , 3 , 6 , 9 , 18 }

(i) We see that

A - B = Φ

B - A = { 1 , 2 , 3 , 6 }

Thus see that A - B ≠ B - A

(ii) Venn diagram : Venn diagram is referred to the attachment

━━━━━━━━━━━━━━━━

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