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11 Jan 2012, 21:16
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What is the range of values of x for which x² +7x +12 > 0?
(A) -4 -3
(C) x -3
(D) x 4
Can someone explain in detail?
(A) -4 -3
(C) x -3
(D) x 4
Can someone explain in detail?
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11 Jan 2012, 22:47
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x² +7x +12 > 0
Factorizing the expression, we get (x+3)(x+4) > 0
Now (x+3)(x+4) will be greater than zero, if
a. (x+3) and (x+4) are both positive.
OR
b. (x+3) and (x+4) are both negative.
For option 1 to be true, x needs to be always greater than -3.
For option 2 to be true, x needs to be always lesser than -4.
So, that gives us x > -3 or x < -4.
Cheers,
Factorizing the expression, we get (x+3)(x+4) > 0
Now (x+3)(x+4) will be greater than zero, if
a. (x+3) and (x+4) are both positive.
OR
b. (x+3) and (x+4) are both negative.
For option 1 to be true, x needs to be always greater than -3.
For option 2 to be true, x needs to be always lesser than -4.
So, that gives us x > -3 or x < -4.
Cheers,
11 Jan 2012, 23:50
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drawing line helps.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
