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

Its Sunday evening, now you suddenly remember you haven't done your homework?

thesicilian:
Its Sunday evening, now you suddenly remember you haven't done your homework?

I am a corper and not a student. And even if it is my assignment cant u help out.

Thank God you said assignment and not exams so someone can help.

ok

Not really sure but here goes nothing:

2x+1<(3x+2)/x+2
Solution
(3x+2) is divided by x+2 leaving 3 remaining
2x+1<3

Collect like terms
2x<3-1
2x=2
X=1

truth12:
Not really sure but here goes nothing:
2x+1<(3x+2)/x+2 Solution (3x+2) is divided by x+2 leaving 3 remaining 2x+1<3
Collect like terms 2x<3-1 2x=2 X=1

u really tried

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
2x² + 4x + x + 2 < 3x + 2

collect like terms
=2x² + 4x + x - 3x < 2-2
=2x² + 2x < 0
=2(x² + x) < 0

Laive:
ok

why did you remove ur post

truth12:
Not really sure but here goes nothing:
2x+1<(3x+2)/x+2 Solution (3x+2) is divided by x+2 leaving 3 remaining 2x+1<3
Collect like terms 2x<3-1 2x=2 X=1

You made a mistake the LCM which was (x+2) will cancel the denominator leaving 3x+2
while (x+2) will multiply (2x+1)

Xflint:
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 2x² + 4x + x + 2 < 3x + 2
collect like terms =2x² + 4x + x - 3x < 2-2 =2x² + 2x < 0 =2(x² + x) < 0

I actually used this method but you are not simplifying
2x²+2x<0 2x(x+1)<0 2x<0 x<0-------1 if x+1<0 then x<-1-----2

Xflint:

why did you remove ur post

Thought I got it wrong!

Laive:
Thought I got it wrong!

U didnt

Xflint:
U didnt

Ok! More please...

answer is x = 0 or x = -1 cant type my workings cos of my phone..

lilmonarch:
answer is x = 0 or x = -1 cant type my workings cos of my phone..

Okay you are welcome

integritylady:
I actually used this method but you are not simplifying
2x²+2x<0 2x(x+1)<0 2x<0 x<0-------1 if x+1<0 then x<-1-----2

yes u r right. Thanks for correcting me

integritylady:

I actually used this method
but you are not simplifying

2x²+2x<0
2x(x+1)<0
2x<0
x<0-------1
if
x+1<0 then
x<-1-----2

Nice one, @Integritylady! Perhaps Xflint never wanted to go that far. But what does it mean when we say x<0------1 and x<-1------2
I'm trying to write a simple PHP class on linear inequalities.

Laive:

Nice one, @Integritylady! Perhaps Xflint never wanted to go that far. But what does it mean when we say x<0------1 and x<-1------2
I'm trying to write a simple PHP class on linear inequalities.

not a linear equation, wanted to show you how I got 2 ansas.... just 1 and 2

integritylady:

not a linear equation, wanted to show you how I got 2 ansas.... just 1 and 2

ok...

integritylady:

not a linear equation, wanted to show you how I got 2 ansas.... just 1 and 2

ok