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Please Help: Inequality
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Updated on: 06 Jun 2016, 13:19
Updated on: 06 Jun 2016, 13:19
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Question Stats:
58% (00:57) correct
41% (01:27) wrong based on 12 sessions
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Manhattan PREP Algebra Book:
Please help with the inequality question below. Not sure, why I keep getting confused on this basic question.
X + Y < 0
Y - X > 0
Quantity A
Y
Quantity B
0
Please help with the inequality question below. Not sure, why I keep getting confused on this basic question.
X + Y < 0
Y - X > 0
Quantity A
Y
Quantity B
0
Re: Please Help: Inequality
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06 Jun 2016, 01:38
06 Jun 2016, 01:38
2
Expert Reply
Hi GREHepl
please edit the post with the original question as it is. Moreover, follow the rules for posting: insert a proper title for the question and at least 3 tags to pinpoint the same for future student
We will be glad to help you.
Back to your question
A is X +Y < 0 wich means that x = 25 and Y= -10 so 15 > 0 but Y is < 0 or the other way around
B is Y - X > 0 wich means that Y > 0 and X < 0 with still hold that our quantity is > 0 or the other way around.
In both cases Y could be > 0 or < 0 so you do not have enough info to say if Y is positive or negative. As such. The answer is D
Regards
please edit the post with the original question as it is. Moreover, follow the rules for posting: insert a proper title for the question and at least 3 tags to pinpoint the same for future student
We will be glad to help you.
Back to your question
A is X +Y < 0 wich means that x = 25 and Y= -10 so 15 > 0 but Y is < 0 or the other way around
B is Y - X > 0 wich means that Y > 0 and X < 0 with still hold that our quantity is > 0 or the other way around.
In both cases Y could be > 0 or < 0 so you do not have enough info to say if Y is positive or negative. As such. The answer is D
Regards
Re: Please Help: Inequality
[#permalink]
06 Jun 2016, 13:23
06 Jun 2016, 13:23
Thanks so much for the help. I have edited it to include the source. Also I can do a better job naming the topic and ensuring I include the source for all of the questions. Your clarification makes perfect sense and makes it a lot easier. For this question, I tried to solve it a different way.
The steps I took to try to solve this were this:
STEP 1: I multiplied the second inequality by -1 to ensure both have the same sign.
-1 * ( Y - X > 0) which will give you (-Y + X) < 0
STEP 2: LINE UP THE EQUATIONS AND ADD ( I DECIDED TO ADD THE EQUATIONS. This is where I'm struggling, does it matter if we add or subtract? I assumed NOO??)
X + Y < 0
- X - Y < 0
______________
2Y < 0
Y < 0 ANSWER B
( WHY IS THIS INCORRECT? CAN WE SOLVE THIS BY DOING WHAT I DID. The solution suggest that we multiply the top inequality by -1. However, I chose to multiply the bottom and then subtract instead of add. If you were to add you would get
X + Y < 0
+ X - Y < 0
______________
2X < 0
X < 0 ANSWER B
The steps I took to try to solve this were this:
STEP 1: I multiplied the second inequality by -1 to ensure both have the same sign.
-1 * ( Y - X > 0) which will give you (-Y + X) < 0
STEP 2: LINE UP THE EQUATIONS AND ADD ( I DECIDED TO ADD THE EQUATIONS. This is where I'm struggling, does it matter if we add or subtract? I assumed NOO??)
X + Y < 0
- X - Y < 0
______________
2Y < 0
Y < 0 ANSWER B
( WHY IS THIS INCORRECT? CAN WE SOLVE THIS BY DOING WHAT I DID. The solution suggest that we multiply the top inequality by -1. However, I chose to multiply the bottom and then subtract instead of add. If you were to add you would get
X + Y < 0
+ X - Y < 0
______________
2X < 0
X < 0 ANSWER B
