Linnéa M.

asked • 04/27/13

(x-8) less than or equal to [ (40/(x+4)) - (90/(x+5)) solve for x

Another one is (6x-5 ) < (6/x)

 

Do you solve for x on these the way that you would if it were an equal sign rather than <> signs?

Nataliya D.

Yes, you do solve inequality the way you solve equation. There is only one difference: If you multiply or divide both sides of inequality by negative number, you should change the sign of inequality to opposite.

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04/27/13

4 Answers By Expert Tutors

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Nataliya D. answered • 04/27/13

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Robert J.

The solution is (-oo, -5) U (-4, -2] U [0, 1].

Attn: Since all the critical points are first degree, you don't need to check every interval. Check x-->oo, it doesn't work, then every the other interval must work.

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04/28/13

Nataliya D.

Well, Robert, may be I can't count :) , but try those:
-3-8=40(-3+4)-90(-3+5)
0-8=40(0+4)-90(0+5)
1-8=40(1+4)-90(1+5) .... -90 is the critical number
P.S. Robert you're perfect from Algebra2 and up, but this is 6-7 grade :)

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04/28/13

Nataliya D.

Sorry, Robert, it's not about count, it's about pay attention :( I forgot that there is division on the left side, I multiplied. Too bad. My apology to you and to student 

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04/28/13

Russell C. answered • 06/07/13

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Robert J. answered • 04/27/13

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Sriram G.

Thanks for the correction

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04/27/13

Sriram G. answered • 04/27/13

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