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January 26, 2025 at 10:37 AM
*Solution*
Universal set = { set of integers greater or equal to 10 but less or equal to 100 }
A = { multiples of 17 within the universal set }
A = { 17, 34 ,51, 68, 85 }
B = { 15×1+7 ; 15 × 2 + 7, 15× 3 + 7; 15 × 4 + 7; 15 × 5 +7 ; 15× 6 + 7 }
B = { 22, 37, 52 , 67, 82 , 97}
*Answers*
( i ) number of elements in A.
n ( A ) = 5
( ii ) Largest element of B is 97
( iii ) ( A u B ) = { 17, 22, 34 , 37, 51, 52, 67, 68, 82, 85, 97 }
n ( A u B ) = 11
n ( A u B ) means elements which are in A or B ( or in both A and B )
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