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# If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll

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If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll  [#permalink]

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27 Nov 2018, 12:28
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00:00

Difficulty:

55% (hard)

Question Stats:

63% (02:31) correct 38% (02:06) wrong based on 88 sessions

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If x is a number such that $$x^2$$−4x+3 < 0 and $$2x^2$$−9x+10 < 0, which of the following can be the value of x?

A. 2.3
B. 2.5
C. 2.6
D. 3.0
E. 3.2
Director
Joined: 18 Jul 2018
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Location: India
Concentration: Finance, Marketing
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Re: If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll  [#permalink]

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28 Nov 2018, 00:44
1
2
Solving the equation $$x^2-4x+3<0$$ = $$(x-1)(x-3)<0$$

Using Wavy curve method we get $$1<x<3$$

Similarly solving equation $$2x^2-9x+10<0$$ = $$(x-2)(2x-5)<0$$

Using Wavy curve method we get $$2<x<2.5$$

Only possible value of x is 2.3

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Joined: 22 Sep 2018
Posts: 19
Re: If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll  [#permalink]

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01 Dec 2018, 05:48
Afc0892 wrote:
Solving the equation $$x^2-4x+3<0$$ = $$(x-1)(x-3)<0$$

Using Wavy curve method we get $$1<x<3$$

Similarly solving equation $$2x^2-9x+10<0$$ = $$(x-2)(2x-5)<0$$

Using Wavy curve method we get $$2<x<2.5$$

Only possible value of x is 2.3

Hi Afc0892
thank you.
Director
Joined: 18 Jul 2018
Posts: 906
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll  [#permalink]

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01 Dec 2018, 05:53
poojasingavi wrote:
Afc0892 wrote:
Solving the equation $$x^2-4x+3<0$$ = $$(x-1)(x-3)<0$$

Using Wavy curve method we get $$1<x<3$$

Similarly solving equation $$2x^2-9x+10<0$$ = $$(x-2)(2x-5)<0$$

Using Wavy curve method we get $$2<x<2.5$$

Only possible value of x is 2.3

Hi Afc0892
thank you.

Hey poojasingavi, sure.

A detailed post about the wavy curve method is posted here.

https://gmatclub.com/forum/wavy-line-method-application-complex-algebraic-inequalities-224319.html#p1727247

Hope this helps.
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Joined: 22 Sep 2018
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Re: If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll  [#permalink]

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01 Dec 2018, 06:07
Afc0892 wrote:
poojasingavi wrote:
Afc0892 wrote:
Solving the equation $$x^2-4x+3<0$$ = $$(x-1)(x-3)<0$$

Using Wavy curve method we get $$1<x<3$$

Similarly solving equation $$2x^2-9x+10<0$$ = $$(x-2)(2x-5)<0$$

Using Wavy curve method we get $$2<x<2.5$$

Only possible value of x is 2.3

Hi Afc0892
thank you.

Hey poojasingavi, sure.

A detailed post about the wavy curve method is posted here.

https://gmatclub.com/forum/wavy-line-method-application-complex-algebraic-inequalities-224319.html#p1727247

Hope this helps.

Afc0892 Thank you so much
VP
Joined: 09 Mar 2016
Posts: 1284
If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll  [#permalink]

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01 Dec 2018, 07:25
$$x^2-4x+3<0$$ ---> $$(x-1)(x-3)<0$$

$$x=1$$

$$x=3$$

$$1<x<3$$

$$2x^2-9x+10<0$$

$$(2x^2-4x)-(5x+10)<0$$

$$2x(x-2)-5(x-10)<0$$

$$(2x-5)(x-2)<0$$

$$2x=5$$ ---> $$x =2.5$$

$$x-2$$ ---> $$x=2$$

$$2<x<2.5$$

A
If x is a number such that x2−4x+3<0and2x2−9x+10<0, which of the foll   [#permalink] 01 Dec 2018, 07:25
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