lheiannie07 wrote:Is the slope of Line K positive ?
1) The product of the intercepts made by Line K is >= 0
2) The product of the intercepts made by Line K is <= 0
How will i identify the sufficient statement?
OA E
We have to determine whether the slope of Line K positive.
Let's take each statement one by one.
1) The product of the intercepts made by Line K is ≥ 0.
Case 1: The product of the intercepts made by Line K is > 0 or positive.
=> Both the interests are either positive or negative.
(a) Draw a straight line such that both the intercepts are positive, you would find that the slope is negative.
(b) Draw a straight line such that both the intercepts are negative, you would find that the slope is negative.
Case 2: The product of the intercepts made by Line K is 0.
=> The line passes through the origin (0, 0).
Draw few lines passing through the origin (0, 0). This opens the possibility of a positive, negative, 0, or undefined slope. Insufficient.
2) The product of the intercepts made by Line K is ≤ 0.
Having discussed (1), we see that Case (2) is also applicable here, thus, insufficient.
Same would be true when we combine both the statements.
The correct answer:
E
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations:
New York |
Jakarta |
Nanjing |
Berlin | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor!
Click here.
