Question

Question posted below...

Answer 1

\[\large A = \left\{ \frac{ 4 }{ 7 } , 1, \frac{ 5 }{ 2 }, \frac{ 11 }{ 7 }, 7 \right\}\]
\[\large B = \left\{ \frac{ 4 }{ 7 },\frac{ 7 }{ 4 },4,7 \right\}\]

If n is a member of both set A and set B above, which of the following must be true?

I. n is an integer
II. 4n is an integer
III. n = 4

(A) None
(B) II only
(C) I an II only
(D) I and III only
(E) I, II, and III

Answer 2

@Vocaloid

Answer 3

\[\large A = \left\{ \frac{ 4 }{ 7 } , 1, \frac{ 5 }{ 2 }, 4, \frac{ 11 }{ 7 }, 7 \right\}\]
\[\large B = \left\{ \frac{ 4 }{ 7 },\frac{ 7 }{ 4 },4,7 \right\}\]

Answer 4

well, first step is to see which elements are common to both sets

Answer 5

Well I know that III should be correct since 4 appears on both sets.

Answer 6

nope, not quite.

Answer 7

4/7, 4, and 7 are common, so n could be any one of these three options

Answer 8

You're looking at the second one right?

Answer 9

Wait.. would it be none?

Answer 10

that's correct

Answer 11

since n has three possibilities, we know that III is out

Answer 12

Thank you!

Answer 13

no problem ^_^~