Interval notation?

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how would i solve and express this in interval notation

x-8/x+5 <2

2006-12-11 08:04:08 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

2 answers

x-8/x+5<2
multiplying byx+5
x-8<2(x+5)
x-8<2x+10
adding -2x-10
-x-18<0
adding 18
-x<18
changing the signs and changing thesigns of inequality
x>-18
x=[-18,0)U(0,infinity)

2006-12-11 08:08:56 · answer #1 · answered by raj 7 · 0⤊ 0⤋

Multiply by x, but be careful: if x is negative then this would change the direction of the inequality

So, for x>0
x^2-8+5x<2x
x^2-3x-8<0 , doesn't see to help!

raj is assuming that you meant 8/(x+5), is that right?

2006-12-11 16:08:37 · answer #2 · answered by modulo_function 7 · 0⤊ 0⤋