Question

A={x:x € N, and 'x' is multiple of 6}
B= {x:x e N, and 'x' is multiple of 8}
C= {x:X EN, and 'x' is multiple of L.C.M of 6 and 8)
find A
B. How can you relate the sets A
B
and 'C'.​

Answer 1

C ⊂ A , C ⊂ B , C = A ∩ B

Step-by-step explanation:

A={x:x € N, and 'x' is multiple of 6}

A = { 6 , 12 , 18 , 24 , 30 , .................................}

B= {x:x e N, and 'x' is multiple of 8}

B = { 8 , 16 , 24 , 32  , 40, ...............................}

C= {x:X EN, and 'x' is multiple of L.C.M of 6 and 8)

LCM of 6 & 8

6 = 2 * 3

8 = 2 * 2 * 2

LCM = 2 * 2 * 2 * 3 = 24

C= { 24 , 48 , 72 ...........................................}

C ⊂ A

C ⊂ B

C = A ∩ B

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Answer 2

Answer:

c={x|x€N,and x is divisible by 7}