Question 1082071: If set X = {1, 2, 3} and Y = {2, 3, 4, 5, 6}, give the elements of the following relations:
a) x is half of y
b) x is a factor of y
Found 2 solutions by Edwin McCravy, jim_thompson5910:
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website!
If set X = {1, 2, 3} and Y = {2, 3, 4, 5, 6}, give the elements of
the following relations:
a) x is half of y
{ (1,2), (2,4), (3,6) }
b) x is a factor of y
{ (1,2), (1,3), (1,4), (1,5), (1,6), (2,2), (2,4), (2,6), (3,3), (3,6) }
Edwin
Answer by jim_thompson5910(35256)  (Show Source):
You can put this solution on YOUR website! Edwin McCravy has the correct solutions for both parts (a) and (b). I'm just adding on the explanations for each.
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Part (a): "x is half of y" basically has you look for x values that are half that of y. For example, (x,y) = (2,4) means x = 2 and y = 4. Hopefully you agree that x is half of y in this case. In other words x = y/2 which can be rearranged to y = 2x. So if x is half of y, then y is twice that of x. The set of points Edwin McCravy listed are all such points where x is half of y. As a non-example, (3,5) would NOT work because x = 3 is NOT half of y = 5.
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Part (b): Similar to part (a) but now this set listed in part (b) is the set of paired relations where x is a factor of y. Something like (2,4) works since x = 2 is a factor of y = 4, i.e. 4 = 2*2. Another example would be (3,6) because 6 = 3*2. Something like (3,5) would NOT work because 3 is NOT a factor of 5. You are to list all of the possible pairs following this line of logic.
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Hope this clears up any confusion you may have had. If there was none, then ignore this post.
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