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

**Dongreat**Lv3: Senior Member- Posts : 74 Posts Liked : 37

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- Posts : 74 Posts Liked : 37

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

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

State : Akwa Ibom

Posts : 105 Posts Liked : 19

@Dongreat u did a nice job

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**Paradise**Administrator- Gender : Male

State : Ebonyi

Posts : 854 Posts Liked : 294

[You must be registered and logged in to see this image.]Benson wrote:@Dongreat u did a nice job

Hello Guest! We The Team of this Forum are Happy You Read This Post. We Appreciate it alot and Wish You Would Come Back As We Would Be Putting Up New and Quality Posts daily Just For You :happy people:

**Hatch**Moderator- State : Ebonyi State

Posts : 389 Posts Liked : 83

vry cool

That was how I was caught with an "expo" in an Exam hall, Students were shouting Chop am, Swallow am, thinking it was a Small paper, Not knowing it was Ababio.

**Gold**Lv4: Born Poster- Posts : 187 Posts Liked : 87

**Speed**Lv3: Senior Member- Posts : 64 Posts Liked : 21

=

__2(x__^{2}+ x) < 0**Brainstorm**Lv4: Born Poster- Posts : 110 Posts Liked : 51

Answered already

**Hatch**Moderator- State : Ebonyi State

Posts : 389 Posts Liked : 83

Brainstorm wrote:Answered already

U can still solve with different formulae

That was how I was caught with an "expo" in an Exam hall, Students were shouting Chop am, Swallow am, thinking it was a Small paper, Not knowing it was Ababio.

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