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What is the greatest value of x for which (3x – 2)(x + 1) =

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GRE Prep Club Legend
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Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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What is the greatest value of x for which (3x – 2)(x + 1) = [#permalink] New post 08 Apr 2018, 10:12
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Question Stats:

75% (00:34) correct 25% (00:00) wrong based on 4 sessions
What is the greatest value of x for which (3x – 2)(x + 1) = 0 ?

A. \(-1\)
B. \(\frac{-2}{3}\)
C. \(\frac{2}{3}\)
D. 1
E. 2

Drill 2
Question: 11
Page: 509
[Reveal] Spoiler: OA

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Joined: 26 Jan 2018
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Kudos [?]: 105 [1] , given: 3

Re: What is the greatest value of x for which (3x – 2)(x + 1) = [#permalink] New post 08 Apr 2018, 18:50
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(3x – 2)(x + 1) = 0

So either (3x – 2)=0 or (x + 1) = 0

If 3x-2 =0, Solving for x gives 2/3
Solving for x in x+1 gives x= -1.

So x can have 2 values, 2/3 or -1. Only in these 2 cases the overall equation will be equal to zero.

As 1 > -2/3

Hence Answer is 3.
GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1731 [0], given: 397

Re: What is the greatest value of x for which (3x – 2)(x + 1) = [#permalink] New post 18 Apr 2018, 15:37
Expert's post
Explanation

The expression on the left side of the equation will equal zero when either (3x – 2) = 0 or (x + 1) = 0.

Solving these equations yields \(x=\frac{2}{3}\) or x = –1. The question asks you for the greatest value of x, so the answer is choice (C).
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Re: What is the greatest value of x for which (3x – 2)(x + 1) =   [#permalink] 18 Apr 2018, 15:37
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