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# If (−6x+6)/2−12<6, which of the following could be a value of x?

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If (−6x+6)/2−12<6, which of the following could be a value of x?  [#permalink]

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08 May 2016, 22:44
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Difficulty:

55% (hard)

Question Stats:

57% (01:03) correct 43% (01:20) wrong based on 142 sessions

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If (−6x+6)/2−12<6, which of the following could be a value of x?

I. 10
II. -5
III. -10

A. I only
B. I and II
C. II and III
D. III only
E. I, II, and III

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Re: If (−6x+6)/2−12<6, which of the following could be a value of x?  [#permalink]

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09 May 2016, 00:13
if (−6x+6)/2−12<6, which of the following could be a value of x?

-6X + 6 -24< 12

-6X-18 <12

-6X<30

X>-5

I. 10
II. -5
III. -10

A. I only
B. I and II
C. II and III
D. III only
E. I, II, and III[/quote]

A only
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Re: If (−6x+6)/2−12<6, which of the following could be a value of x?  [#permalink]

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09 May 2016, 06:01
Bunuel wrote:
If (−6x+6)/2−12<6, which of the following could be a value of x?

I. 10
II. -5
III. -10

A. I only
B. I and II
C. II and III
D. III only
E. I, II, and III

(-6x+6)/2-12<6
(-6x+6)/2<6+12
(-6x+6)/2<18
-6x+6<36
-6x<30
x>-5

I. x = 10 (x>-5) => it's the answer
II. x = -5 (x=-5) => no it's wrong
III.x = -10 (-10<-5) = > wrong again

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Re: If (−6x+6)/2−12<6, which of the following could be a value of x?  [#permalink]

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09 May 2016, 08:06
Bunuel wrote:
If (−6x+6)/2−12<6, which of the following could be a value of x?

I. 10
II. -5
III. -10

A. I only
B. I and II
C. II and III
D. III only
E. I, II, and III

$$\frac{{−6x+6}}{2}−12 < 6$$

$$\frac{{−6x+6}}{2} < 18$$

$$-6x + 6 < 36$$

$$-6x < 30$$

$$x > -5$$

None of the options except (A) satisfies the condition , hence answer will be (A)
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Re: If (−6x+6)/2−12<6, which of the following could be a value of x?  [#permalink]

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09 May 2016, 09:36

(-6x+6)/2-12-5

Out of given option 'x' could only be 10

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This discussion does not meet community quality standards. It has been retired.

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Re: If (−6x+6)/2−12<6, which of the following could be a value of x?   [#permalink] 09 May 2016, 09:36
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