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27 Aug 2016, 14:39
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I've never been that great with inequalities, and I feel I'm missing something here. Some rule or something that I don't know about.
When I take statement 1 and break it down I get:
x^2 > 9
(x^2) - 9 > 0
(x - 3)(x + 3) > 0
So the roots are
x > 3 , x > -3
But this is incorrect. According to the book it should be:
x > 3 , x < -3
What am I doing wrong?
Sent from my iPhone using GMAT Club Forum mobile app
When I take statement 1 and break it down I get:
x^2 > 9
(x^2) - 9 > 0
(x - 3)(x + 3) > 0
So the roots are
x > 3 , x > -3
But this is incorrect. According to the book it should be:
x > 3 , x < -3
What am I doing wrong?
Sent from my iPhone using GMAT Club Forum mobile app
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Senthil1981
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27 Aug 2016, 17:01
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meshackb
Till the coloured part you're right and then you went wrong.
When \((x+3)(x-3) > 0\), it's only possible if both the factors are negative or both positive to have \(>0\)
1) when both terms are positive :
ignore \((x+3)\) since it's going to be > 0, but \((x-3) > 0\) so \(x>3\)
2) when both are negative :
ignore \((x-3)\) , but \((x+3) > 0\), and since \(x\) is negative , this gives \(x < -3\)
28 Aug 2016, 05:13
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meshackb
Check below links:
Inequalities Made Easy!
Solving Quadratic Inequalities - Graphic Approach
Inequality tips
DS Inequalities Problems
PS Inequalities Problems
700+ Inequalities problems
inequalities-trick-91482.html
data-suff-inequalities-109078.html
range-for-variable-x-in-a-given-inequality-109468.html
everything-is-less-than-zero-108884.html
graphic-approach-to-problems-with-inequalities-68037.html
Hope it helps.
