Solve the inequality
(x+4)/(x-5)

Question

Solve the inequality
(x+4)/(x-5) <=0 
Write your answer in interval notation

Answer: -4<=x<5
Interval notation: [-4,5)

anonymous · Answer

Is this answer correct?  @stamp I used your wolfram.com link you gave me, to double check it, but I want to be 100% by polling the audience. And to make sure the interval notation was correct.

anonymous · Answer

This is correct, yes! Although in Finland we use the interval notations [-4,5[. So I don't know about America, sorry! :)

stamp · Answer

How are you supposed to solve this one

stamp · Answer

I can see that (x+4) <= 0 leads to x <= 4

anonymous · Answer

I'm glad I'm not in Finland

anonymous · Answer

I don't know?

stamp · Answer

Ohhhh
wait

stamp · Answer

If it is less than zero, it must be negative

so x+5 <= 0

x <= -5

but x =/= 5 

so x < 5

stamp · Answer

Why is it x >= 4

anonymous · Answer

if you graph it on a number line it looks like

stamp · Answer

well if it was lessthan you would get -/- which is +

stamp · Answer

but if its greater than you have +/- = - is <0

anonymous · Answer

You have to draw the functions (x+4 and x-5) and check when they're <= 0. :) I could do that, but I'm too lazy, haha :D

stamp · Answer

attachment

anonymous · Answer

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