9n-10>-82 and -1-2n> (or equal to)-5 solve and graph the solution
Okay, and your attempt at this problem?
Let's just say I need a ton of help
Since these only have one variable, are we solving each individually and then graphing each of them?
Correct and I have no clue how to do so
Take the first one, 9n-10>-82, treat this as you would any other algebraic problem. How would you isolate n?
Add 82 to both sides
Not the way I would start but okay, so you have 9n+72>0, now what? And remember you want 'n' all alone.
Aw so it'll take longer if I add 82 so let's try adding 10 to both sides
Okay, so you now have 9n>-72, what's next?
I would divide by 9
So n> than ?
7
In the last problem you proved that 9*7 was 63.
I meant 8
Okay, and you have a -72
So what's next
Well first you need to recognize that if 9*8=72, then 9*(-8)=-72 and so your answer is n>(-8)
That's it
What this tells you is that the statement, 9n-10>-82, is true for all values of n>(-8)
So when you graph this you will start with a circle around -8, because it is values > and not >=, and that your line will extend to all values that are greater than -8.
Alright thanks man you've been a great help
One more question is it an open or a closed circle
You're welcome. Though you now need to do the same process for your -1-2n>= -5
What does the closed circle represent?
The answer is included on the graph
I guess I should have asked if you were doing shading as well.
So to include something, we would have to had that as an answer in the inequality. We showed that n > -8, and so it is no included in the answer.
Some textbooks have a solid dot indicate inclusion, some have a full circle indicate above and below but not the exact value, and some have a half circle show that it is only from one side.
So for the -8 it's a closed circle correct
I would draw it like this, because we are only interested in values greater:|dw:1371521127032:dw|
But look at the examples your book gives and adjust your answer to match the lesson they have.
Alright will do
Good luck.
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