can someone give me some non linear inequalites that YOU think will show up on a test

A

abel muroi

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any non linear inequalities problems would work for me.

Just give me about 5 problems and i will try solve them. (I'm doing this because i just did a quiz about inequalities and failed it, but it only had one question :roll:)

this is just so that i can practice and retake the quiz.
 
abel muroi said:
any non linear inequalities problems would work for me.

Just give me about 5 problems and i will try solve them. (I'm doing this because i just did a quiz about inequalities and failed it, but it only had one question :roll:)

this is just so that i can practice and retake the quiz.
Click to expand...
(1) (x-3)/(x-2) > 2
(2) x2 - 9x + 20 > 0
(3) (x+2)/(x-2) < 0
(4) (x2 - 2x + 1) / (x-1) < 12
(5) (x - y) (x + y) < 0

I don't know if you have had all of these types. If not I can put up a different one(s) if you like.
 
Ishuda said:
(1) (x-3)/(x-2) > 2
(2) x2 - 9x + 20 > 0
(3) (x+2)/(x-2) < 0
(4) (x2 - 2x + 1) / (x-1) < 12
(5) (x - y) (x + y) < 0

I don't know if you have had all of these types. If not I can put up a different one(s) if you like.
Click to expand...

I wasn't sure how do to the last one and I don't think my professor will give me an inequality that has Y as one of the terms. But can you replace the fifth one with an inequality that has an exponent bigger than 2 in one of the terms?

anyway here are my answers to your problems

(1) (-1,2)
(2) (negative infinity, 4) u (5, positive infinity)
(3) (negative infinity, -2) u (-2, 2)
(4) (negative infinity, 1) u (1, 13)

did i get the correct answers for the first four problems?
 
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abel muroi said:
I wasn't sure how do to the last one and I don't think my professor will give me an inequality that has Y as one of the terms. But can you replace the fifth one with an inequality that has an exponent bigger than 2 in one of the terms?

anyway here are my answers to your problems

(1) (-1,2)
(2) (negative infinity, 4) u (5, positive infinity)
(3) (negative infinity, -2) u (-2, 2)
(4) (negative infinity, 1) u (1, 13)

did i get the correct answers for the first four problems?
Click to expand...
#1 and #3 are wrong.
Redo those and then try (2x-1)/(x-7) <0
 
abel muroi said:
I wasn't sure how do to the last one and I don't think my professor will give me an inequality that has Y as one of the terms. But can you replace the fifth one with an inequality that has an exponent bigger than 2 in one of the terms?

anyway here are my answers to your problems

(1) (-1,2) (1, 2) - you might show/look over your work to find the mistake [notice that -1 doesn't work]
(2) (negative infinity, 4) u (5, positive infinity) Yes
(3) (negative infinity, -2) u (-2, 2) just (-2, 2) - you might show/look over your work to find the mistake [notice that -10 doesn't work]
(4) (negative infinity, 1) u (1, 13) Yes

did i get the correct answers for the first four problems?
Click to expand...
Partially, see above
(5) x3 - x2 - x + 1 < 0
or
(6) x3 - 6 x2 + 11 x - 6 > 0
 
abel muroi said:
Ok i redid 1 and 3...

(1) (2, positive infinity)

(3) (-2, 2)

I will try (2x-1)/(x-7) < 0 in a sec.
Click to expand...
Sorry but 1 is still not correct. Please show your work.

EDIT: You actually have two updated results for 1. You have (2, positive infinity) and (1,2). (1,2) is correct.
 
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Ishuda said:
Partially, see above
(5) x3 - x2 - x + 1 < 0
or
(6) x3 - 6 x2 + 11 x - 6 > 0
Click to expand...

actually i was expecting something like x3 - 9x >= 0 where only one term has the 3 in the exponent.

i'm not sure what to do with multiple terms with exponents in an inequality
 
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abel muroi said:
actually i was expecting something like x3 - 9x >= 0 where only one term has the 3 in the exponent.

i'm not sure what to do with multiple exponents in an inequality
Click to expand...
Abel, you should know how to factor these two equations. In number 5 you can factor by grouping or using long division by using the fact that x=1 is a solution. In 6 you can factor by long division by observing that x=1 is a solution.

If you can't factor these let us know and i will do it for you as I know that you are studying for a test.
 
Jomo said:
Abel, you should know how to factor these two equations. In number 5 you can factor by grouping or using long division by using the fact that x=1 is a solution. In 6 you can factor by long division by observing that x=1 is a solution.

If you can't factor these let us know and i will do it for you as I know that you are studying for a test.
Click to expand...

I can try to do the two other problems that ishuda wrote but I know I'd probably factor them incorrectly.

Can you tell me how to factor them properly?
 
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