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Wavy Line Method Application - Complex Algebraic Inequalities

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3256
Re: Wavy Line Method Application - Complex Algebraic Inequalities  [#permalink]

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05 Aug 2019, 21:05
Intern
Joined: 27 Feb 2012
Posts: 3
Concentration: Finance, Finance
GRE 1: Q750 V680
GPA: 3.09
Re: Wavy Line Method Application - Complex Algebraic Inequalities  [#permalink]

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26 Sep 2019, 14:02
What if we have an equation of the form x^2 +1 > 0
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3256
Re: Wavy Line Method Application - Complex Algebraic Inequalities  [#permalink]

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29 Sep 2019, 03:26
Hey mehul88,

If we have any inequality of the form x^2 +1 > 0 then it will be true for all the value of x.
And, the reason is simple. x^2 is always greater or equal to zero or x^2>=0

So, if we add 1 to inequality, it will only increase its value.
I hope this helps you.

Regards,
Ashutosh,
e-GMAT Quant expert.
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Joined: 19 Oct 2019
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Re: Wavy Line Method Application - Complex Algebraic Inequalities  [#permalink]

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09 Nov 2019, 02:22
Indeed a great post. I helped me a lot to solve higher difficulty level questions easily. But I have a doubt here. Can we draw a wavy line where coefficient of x is great than 1? Also do X always needs to be positive? How Can we draw a vavy line for the below equation:
(2x-3)(3-x)>0

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Re: Wavy Line Method Application - Complex Algebraic Inequalities   [#permalink] 09 Nov 2019, 02:22

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Wavy Line Method Application - Complex Algebraic Inequalities

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