# Solve the inequality 2x + 1 < (3x + 2)/x + 2

**Dongreat**Lv3: Senior Member- Time Online : 10h 53m 59s

Posts : 76 Posts Liked : 39

2x + 1 < (3x + 2)/x + 2

solutio:

we remove bracket

~~=2x + 1 > 3x + 2/x + 2 ~~

collection of like terms

=2x+3x>2+1/x+2

=5x+3/x+2

solutio:

we remove bracket

collection of like terms

=2x+3x>2+1/x+2

=5x+3/x+2

Last edited by Dongreat on Sun 26 Jun 2016, 3:31 pm; edited 1 time in total

**Forumfather**Lv3: Senior Member- Posts : 92 Posts Liked : 35

2x+1<(3x+2)/x+2

firstly finding the L.C.M

and the L.C.M is x+2

therefore

2x+1(x+2)<3x+2

open the bracket

2x

collect like terms

=2x

=2x

=

firstly finding the L.C.M

and the L.C.M is x+2

therefore

2x+1(x+2)<3x+2

open the bracket

2x

^{2}+ 4x + x + 2 < 3x + 2collect like terms

=2x

^{2}+ 4x + x - 3x < 2-2=2x

^{2}+ 2x < 0=

__2(x__^{2}+ x) < 0**Dongreat**Lv3: Senior Member- Time Online : 10h 53m 59s

Posts : 76 Posts Liked : 39

I think I made a mistake

2x+1<(3x+2)/x+2

L.C.M = x+2

:.

2x+1(x+2)<3x+2

2x2 + 4x + x + 2 < 3x + 2

CLT

=2x^2 + 4x + x - 3x < 2-2

=2x^2 + 2x < 0

Then break it down by dividing 2x^2 + 2x by 2 which is

~~2~~x^2+~~2~~x/2

=x^2+x < 0

=x>-1 Answer

2x+1<(3x+2)/x+2

L.C.M = x+2

:.

2x+1(x+2)<3x+2

2x2 + 4x + x + 2 < 3x + 2

CLT

=2x^2 + 4x + x - 3x < 2-2

=2x^2 + 2x < 0

Then break it down by dividing 2x^2 + 2x by 2 which is

=x^2+x < 0

=x>-1 Answer

Last edited by Dongreat on Mon 27 Jun 2016, 11:08 pm; edited 1 time in total

**Forumfather**Lv3: Senior Member- Posts : 92 Posts Liked : 35

@Dongreat thanks for noting ur mistakes

**Yiraub**Lv1: New Member- Posts : 1 Posts Liked : 2

very cool

**Dongreat**Lv3: Senior Member- Time Online : 10h 53m 59s

Posts : 76 Posts Liked : 39

@Forumfather wrote:@Dongreat thanks for noting ur mistakes

Yep and thanks for correcting me. But you should break it down

**Venusg**Lv4: Born Poster- State : Edo State

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@Dongreat wrote:@Forumfather wrote:@Dongreat thanks for noting ur mistakes

Yep and thanks for correcting me. But you should break it down

**Benson**Lv4: Born Poster- Gender : Male

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@Dongreat u did a nice job

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vry cool

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=

__2(x__^{2}+ x) < 0**Brainstorm**Lv4: Born Poster- Posts : 110 Posts Liked : 52

Answered already

**Hatch**Moderator- Time Online : 1m 56s

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@Brainstorm wrote:Answered already

U can still solve with different formulae

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