Question

-7(x+4)9x<2(2x-8)-3x solve the inequality help not very good at math

Answer 1

Distrubute the factors and multiply it out. Then simplify. Treat the inequality just as you would an equal side. The only tricky thing to remember is if you divide by a negative you have to change which way the inequality goes.

Answer 2

is the equation correct as stated?

Answer 3

yes

Answer 4

Do you know how to do the distribution step?

Answer 5

-36x(x+4) > 4x - 16 - 3x

-36x^2 - 144x > x-16 is correct?

Answer 6

no i dont not very good at algebra and to u amistre i think so

Answer 7

lets figure out what I did :)

lets start with an easy example...

3(8) = 24 right?

Answer 8

yes

Answer 9

then:

3(6+2) should also equal 24 right?

Answer 10

yes

Answer 11

then this should also work for us:

3(6) + 3(2) = 24

18 + 6 = 24

24 = 24 .... do you see that? its called the distributive property and it allows us to "distribute" the 3 thru the (6+2) to get the answer.

Answer 12

oh ok i understand now

Answer 13

2(2x-8) distribute this for me then :)

Answer 14

4x-16

Answer 15

very good :)

Answer 16

-7(x+4) how about this one?

Answer 17

-7x-28

Answer 18

excellent work..... see how easy that is :)

Answer 19

yes i do

Answer 20

that left side has one more "distribution" to take care of:

9x(-7x-28) is what? I know you can do this...

Answer 21

-56x-252

Answer 22

look over your "multiplication" work again and try that again....

9x(-7x) +9x(-28) ....

Answer 23

wait i meant -63x-252

Answer 24

i see what mistake i made

Answer 25

very good, but remember to include the "x".

x(x) = x^2 ; which means x squared.

Answer 26

-63x^2 -252x ..... ok?

Answer 27

-63x2-252x right?

Answer 28

that is correct....

-63x^2 -252x < 4x -16 -3x is what we are up to now.... do you know what we should do now?

Answer 29

simplify

Answer 30

we can simplify this to some extent yes, we can "combine" like terms..

Answer 31

-63^2 -252x < 4x-3x -16

-63x^2 -252x < x -16

Do you know how to move things from one side to the other? Its important to be able to do this while keeping the balance between them the same.... does that make sense?

Answer 32

yes it makes sense i think i do how to move one side to the the other

Answer 33

let me give you an easy example to remind you:

10 < 15 right?

then

1+2+3+4 < 4+5+6 right?

Answer 34

yes

Answer 35

to keep everything in balance...whatever we "add" or "remove" from one side has to be done to the other.... right?

lets subtract "4" from each side

1+2+3+4 -4 < 4+5+6 -4

1+2+3 < 5+6 ; 6>11

Answer 36

that make sense

Answer 37

i flipped my sign around didnt i....

Answer 38

yeah.

Answer 39

its these fat fingers and this tiny little keyboard :)

Answer 40

lol its ok i do that to

Answer 41

-63x^2 -252x < x -16

lets make the lefthand side = 0, to do that we need to "add" their value to both sides

Answer 42

-63x^2 [+63x^2] -252x [+252x] < [+63x^2] +x [+252x]-16

Answer 43

0< 63x^2 +253x -16 is what we get right?

Answer 44

yes thats what i got

Answer 45

now comes the hard part, because it gets a little on the "advanced" side of things for this one..... but we can use a formula called the "quadratic" formula to find the values for "x" that make this equal to zero...

wanna try it out?

Answer 46

yes

Answer 47

ok.... notive that we have numbers in front of all of our "terms". they are 63, 253, and -16. we want to use these in our quadratic formula....

Answer 48

ok

Answer 49

-253 + sqrt(253^2 - (4)(-16)(63))
------------------------------
2(63)

this aint gonna be pretty :)

Answer 50

is sqrt is square rIght?

Answer 51

yes, sqrt() is what I use to indicate the square root "umbrella" and everything inside of the () is what is under the "umbrella".

Answer 52

where ever did you get this inequality at? its almost a nightmare :)

Answer 53

its on a study guide but i have to go my computer is missing up thanxs for the help

Answer 54

your welcome..