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# Wavy Line Method Application - Exercise Question #4

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Joined: 04 Jan 2015
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Wavy Line Method Application - Exercise Question #4  [#permalink]

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Updated on: 07 Aug 2018, 21:28
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Wavy Line Method Application - Exercise Question #4

Find the range of values of x that satisfy the inequality $$\frac{(x+1)(x-2)}{(x-5)(x+3)} > 0$$

Wavy Line Method Application has been explained in detail in the following post:: http://gmatclub.com/forum/wavy-line-method-application-complex-algebraic-inequalities-224319.html

Detailed solution will be posted soon.

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Originally posted by EgmatQuantExpert on 26 Aug 2016, 02:40.
Last edited by EgmatQuantExpert on 07 Aug 2018, 21:28, edited 1 time in total.
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Re: Wavy Line Method Application - Exercise Question #4  [#permalink]

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26 Aug 2016, 10:02
1
EgmatQuantExpert wrote:
Wavy Line Method Application - Exercise Question #4

Find the range of values of x that satisfy the inequality $$\frac{(x+1)(x-2)}{(x-5)(x+3)} > 0$$

Wavy Line Method Application has been explained in detail in the following post:: http://gmatclub.com/forum/wavy-line-method-application-complex-algebraic-inequalities-224319.html

Detailed solution will be posted soon.

Equation is $$\frac{(x+1)(x-2)}{(x-5)(x+3)} > 0$$

We have the values of x as -3,-1,2 and 5.

Since x cannot be equal to 5 or -3 we need to exclude those values(they are at the denominator and we cannot have 0 at the denominator)

So, substituting these values of the number line, we will the range of x as

(-infinity,-3) U (-1,2) U (5,infinity)

Please correct me if I am missing anything.
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Wavy Line Method Application - Exercise Question #4  [#permalink]

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Updated on: 07 Aug 2018, 21:29
Solution:

Hey Everyone,

Please find below the solution of the given problem,

Plotting the zero points and drawing the wavy line:

Required Range:

x < -3 or -1 < x < 2 or x > 5

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Articles and Question to reach Q51 | Question of the week

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Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

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Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

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Originally posted by EgmatQuantExpert on 18 Nov 2016, 03:16.
Last edited by EgmatQuantExpert on 07 Aug 2018, 21:29, edited 1 time in total.
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Re: Wavy Line Method Application - Exercise Question #4  [#permalink]

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28 Jun 2018, 02:24
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