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Best Approach to solve Inequlity type of Questions

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by Amitk101 » Wed Jul 16, 2008 7:51 pm
Could someone suggest best approach to solve the inequality questions.
Specially when its not mentioned that variables are integers.

I feel it becomes difficult as we also need to consider fractions.

Any thoughts?
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Source: — Problem Solving |

by ajmoney09 » Wed Jul 16, 2008 9:07 pm
I think the best way is to plug numbers in and check, best way to do it. They need some getting use to.

for statement (1) I tried:
m-3(z) >0

7-3(2)>0, which makes this statement true....Plugging back into m+z>0? you get 7+2, which says answers "Yes"....But the main error with plugging numbers is that you can usually have more than one answer.

So pick 2 different numbers making sure the statement still stays true; try, 5-3(- 8 ) > 0 Which makes this statement true, but plugging back into the questions you get 5+-8 > 0 Which answers "NO."

The same problem applies for both statements, there are multiple ways to make the statements true, but make the question answer be "no" or "Yes."

Hope this helped,
Aj.
Last edited by ajmoney09 on Wed Jul 16, 2008 9:22 pm, edited 2 times in total.
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by TRANGZON » Wed Jul 16, 2008 9:21 pm
(1) m-3z>0 --> m>3z --> insuff

(2) 4z-m>0 --> insuff

(1) + (2) --> m - 3z + 4z - m > 0 --> z>0
(1) m>3z
-> m>0
--> m+z >0
--> C
What is OA?
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by sudhir3127 » Wed Jul 16, 2008 10:56 pm
my answer is C.

adding statement 1 and 2 we get Z>0 -------------------i

statement 1 says m- 3Z>0 which mean m>3Z -------------------ii

that means m>0

hence m+Z>0
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by Amitk101 » Wed Jul 16, 2008 11:50 pm
Thanks everyone for the solution.

OA is C.
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