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Quantity A 1/2y-1/2x Quantity B 0
[#permalink]
29 Sep 2015, 00:07
29 Sep 2015, 00:07
Quantity A
1/2y-1/2x
Quantity B
0
where
X<Y<-1
When I attempt to answer the question my self , I was thinking in different way
I just substitute the variables x and y with the suitable values based on the information given that x<y<-1
So I set x to be -3 and y to be -2 and they all less than -1 as above.
Then I plug in that values in the equation 1/2y-1/2x
I get 1/2(-2)-1/2(-3)
then I continue 1/-4-1/-6
and because I have 1/-4 , then I can rewrite it -1/4 , the same for the other fraction 1/-6 I rewrite it to be -1/6
then -1/4-(-1/6) means -1/4+1/6 because we have two negative signs
then I put a common denominator 2
and then I get -2+3/2 which equal to 1/2 which is greater then Quantity B (0) so my answer was A for that question but I discovered from the video that my answer is wrong and the right answer for that question is B.
I still do not know what was wrong with my solution above ?? why it is wrong ? is it the logic wrong or the approach itself wrong ?
I am sorry that my explanation took that long
I will really appreciate your help
1/2y-1/2x
Quantity B
0
where
X<Y<-1
When I attempt to answer the question my self , I was thinking in different way
I just substitute the variables x and y with the suitable values based on the information given that x<y<-1
So I set x to be -3 and y to be -2 and they all less than -1 as above.
Then I plug in that values in the equation 1/2y-1/2x
I get 1/2(-2)-1/2(-3)
then I continue 1/-4-1/-6
and because I have 1/-4 , then I can rewrite it -1/4 , the same for the other fraction 1/-6 I rewrite it to be -1/6
then -1/4-(-1/6) means -1/4+1/6 because we have two negative signs
then I put a common denominator 2
and then I get -2+3/2 which equal to 1/2 which is greater then Quantity B (0) so my answer was A for that question but I discovered from the video that my answer is wrong and the right answer for that question is B.
I still do not know what was wrong with my solution above ?? why it is wrong ? is it the logic wrong or the approach itself wrong ?
I am sorry that my explanation took that long
I will really appreciate your help
Re: Quantity A 1/2y-1/2x Quantity B 0
[#permalink]
29 Sep 2015, 14:21
29 Sep 2015, 14:21
Expert Reply
jaber wrote:
Quantity A
1/2y-1/2x
Quantity B
0
where
X<Y<-1
When I attempt to answer the question my self , I was thinking in different way
I just substitute the variables x and y with the suitable values based on the information given that x<y<-1
So I set x to be -3 and y to be -2 and they all less than -1 as above.
Then I plug in that values in the equation 1/2y-1/2x
I get 1/2(-2)-1/2(-3)
then I continue 1/-4-1/-6
and because I have 1/-4 , then I can rewrite it -1/4 , the same for the other fraction 1/-6 I rewrite it to be -1/6
then -1/4-(-1/6) means -1/4+1/6 because we have two negative signs
then I put a common denominator 2
and then I get -2+3/2 which equal to 1/2 which is greater then Quantity B (0) so my answer was A for that question but I discovered from the video that my answer is wrong and the right answer for that question is B.
I still do not know what was wrong with my solution above ?? why it is wrong ? is it the logic wrong or the approach itself wrong ?
I am sorry that my explanation took that long
I will really appreciate your help
1/2y-1/2x
Quantity B
0
where
X<Y<-1
When I attempt to answer the question my self , I was thinking in different way
I just substitute the variables x and y with the suitable values based on the information given that x<y<-1
So I set x to be -3 and y to be -2 and they all less than -1 as above.
Then I plug in that values in the equation 1/2y-1/2x
I get 1/2(-2)-1/2(-3)
then I continue 1/-4-1/-6
and because I have 1/-4 , then I can rewrite it -1/4 , the same for the other fraction 1/-6 I rewrite it to be -1/6
then -1/4-(-1/6) means -1/4+1/6 because we have two negative signs
then I put a common denominator 2
and then I get -2+3/2 which equal to 1/2 which is greater then Quantity B (0) so my answer was A for that question but I discovered from the video that my answer is wrong and the right answer for that question is B.
I still do not know what was wrong with my solution above ?? why it is wrong ? is it the logic wrong or the approach itself wrong ?
I am sorry that my explanation took that long
I will really appreciate your help
Hey Jaber,
You had the entire question down perfectly apart from one detail -2 + 3/2 is -1/2 not 1/2. So the answer is B.
Cheers
Re: Quantity A 1/2y-1/2x Quantity B 0
[#permalink]
30 Sep 2015, 11:18
30 Sep 2015, 11:18
Thank you very much for your help
