anonymous
  • anonymous
-7(x+4)9x<2(2x-8)-3x solve the inequality help not very good at math
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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.
amistre64
  • amistre64
is the equation correct as stated?
anonymous
  • anonymous
yes

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anonymous
  • anonymous
Do you know how to do the distribution step?
amistre64
  • amistre64
-36x(x+4) > 4x - 16 - 3x -36x^2 - 144x > x-16 is correct?
anonymous
  • anonymous
no i dont not very good at algebra and to u amistre i think so
amistre64
  • amistre64
lets figure out what I did :) lets start with an easy example... 3(8) = 24 right?
anonymous
  • anonymous
yes
amistre64
  • amistre64
then: 3(6+2) should also equal 24 right?
anonymous
  • anonymous
yes
amistre64
  • amistre64
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.
anonymous
  • anonymous
oh ok i understand now
amistre64
  • amistre64
2(2x-8) distribute this for me then :)
anonymous
  • anonymous
4x-16
amistre64
  • amistre64
very good :)
amistre64
  • amistre64
-7(x+4) how about this one?
anonymous
  • anonymous
-7x-28
amistre64
  • amistre64
excellent work..... see how easy that is :)
anonymous
  • anonymous
yes i do
amistre64
  • amistre64
that left side has one more "distribution" to take care of: 9x(-7x-28) is what? I know you can do this...
anonymous
  • anonymous
-56x-252
amistre64
  • amistre64
look over your "multiplication" work again and try that again.... 9x(-7x) +9x(-28) ....
anonymous
  • anonymous
wait i meant -63x-252
anonymous
  • anonymous
i see what mistake i made
amistre64
  • amistre64
very good, but remember to include the "x". x(x) = x^2 ; which means x squared.
amistre64
  • amistre64
-63x^2 -252x ..... ok?
anonymous
  • anonymous
-63x2-252x right?
amistre64
  • amistre64
that is correct.... -63x^2 -252x < 4x -16 -3x is what we are up to now.... do you know what we should do now?
anonymous
  • anonymous
simplify
amistre64
  • amistre64
we can simplify this to some extent yes, we can "combine" like terms..
amistre64
  • amistre64
-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?
anonymous
  • anonymous
yes it makes sense i think i do how to move one side to the the other
amistre64
  • amistre64
let me give you an easy example to remind you: 10 < 15 right? then 1+2+3+4 < 4+5+6 right?
anonymous
  • anonymous
yes
amistre64
  • amistre64
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
anonymous
  • anonymous
that make sense
amistre64
  • amistre64
i flipped my sign around didnt i....
anonymous
  • anonymous
yeah.
amistre64
  • amistre64
its these fat fingers and this tiny little keyboard :)
anonymous
  • anonymous
lol its ok i do that to
amistre64
  • amistre64
-63x^2 -252x < x -16 lets make the lefthand side = 0, to do that we need to "add" their value to both sides
amistre64
  • amistre64
-63x^2 [+63x^2] -252x [+252x] < [+63x^2] +x [+252x]-16
amistre64
  • amistre64
0< 63x^2 +253x -16 is what we get right?
anonymous
  • anonymous
yes thats what i got
amistre64
  • amistre64
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?
anonymous
  • anonymous
yes
amistre64
  • amistre64
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....
anonymous
  • anonymous
ok
amistre64
  • amistre64
-253 + sqrt(253^2 - (4)(-16)(63)) ------------------------------ 2(63) this aint gonna be pretty :)
anonymous
  • anonymous
is sqrt is square rIght?
amistre64
  • amistre64
yes, sqrt() is what I use to indicate the square root "umbrella" and everything inside of the () is what is under the "umbrella".
amistre64
  • amistre64
where ever did you get this inequality at? its almost a nightmare :)
anonymous
  • anonymous
its on a study guide but i have to go my computer is missing up thanxs for the help
amistre64
  • amistre64
your welcome..

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