anonymous
  • anonymous
-2n ≥ 8 or n+3<7 please show step by step and explain
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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noseboy908
  • noseboy908
Do you have to graph the two to solve for n? Or what further instructions do you have?
anonymous
  • anonymous
just solving for n. no graphing
noseboy908
  • noseboy908
Good! That makes it easier. Let's start with the first equation. "-2n ≥ -4" Start by trying to isolate n. Do you know how to do that?

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anonymous
  • anonymous
i actually already solved them. n ≤ -4 or n < 4. I just don't understand why the back of the book says the answer is only n<4
noseboy908
  • noseboy908
The first equation has an error. See if you can spot it.
noseboy908
  • noseboy908
And don't overthink it. You got the more complicated part correct, but missed a...simpler part.
anonymous
  • anonymous
Oh, i typed the equation incorrectly. it's suppose to be -2n≥8 or n+3<7.
noseboy908
  • noseboy908
Well that changes things. One moment.
anonymous
  • anonymous
sorry
noseboy908
  • noseboy908
Don't apologize, it was actually my mistake. Now, is this one of the problems that the book gives the answer to so you can solve for it and see if you got it right?
anonymous
  • anonymous
to see if i got it right
noseboy908
  • noseboy908
That's odd, and I'll explain why. My thought process would be to accept n ≤ 4 as correct, as it already includes all that "n < 4" would contain, plus the addition of the answer also possibly being 4. Now, to check my answer, I'm going to ask some others of their opinion on this.
noseboy908
  • noseboy908
@amistre64 , @ganeshie8 , or @Luigi0210 , could you shed some light?
amistre64
  • amistre64
-2n ≥ 8 or n+3<7 n < = -4 or n < 4 |dw:1440981200481:dw| n<4 contains n<= -4 so to avoid redundancy ... the solution set is simply all values less then 4
amistre64
  • amistre64
if you were going to pick all the points in the number line that form a solution ... you would define it as all points less then 4 and be done with the explanation.
anonymous
  • anonymous
oh, I see now. thank you so much for helping everyone!
amistre64
  • amistre64
in set notation ... i dont think you know set notation if D is contained within A, then the union of A with D, is just A ... since D is already a part of A to start with.

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