OpenStudy (anonymous):

help! solve inequality: (2x-1)(x+4) <0?

OpenStudy (austinl):

You need to FOIL out the left side.

OpenStudy (anonymous):

FOIL?

OpenStudy (anonymous):

what?

OpenStudy (anonymous):

Multiply the first terms, the outer terms, the inner terms,and the last terms. F (2x)(x) O (2x)4 I -1(4) L (-1)4

OpenStudy (anonymous):

\[2x ^{2}+8x-x-4\] the i above should say x(-1)

OpenStudy (anonymous):

yesss and then what do u do?

OpenStudy (anonymous):

Simplify...combine like terms

OpenStudy (anonymous):

2x^2 +7x -4...then?

OpenStudy (anonymous):

yes...then factor that

OpenStudy (anonymous):

no don't factor...we're going in circles 2x^2 +7x -4<0 solve for x

OpenStudy (anonymous):

2x^2 +7x<4 x(2x+7)<4 so you have x<4 and (2x+7)<4 2x<-3 x<-3/2

OpenStudy (anonymous):

I hope this is what is intended.

OpenStudy (anonymous):

(2x-1)(x+4) <0 if you used the original equation, you'd have x<1/2 and x<-4 I think this is the right way.

OpenStudy (anonymous):

so which is the right answer?

OpenStudy (anonymous):

I think my last answer is right

OpenStudy (anonymous):

how would u write the answer? x<1/2 and x<-4?