SOLUTION: solve the inequality algebraically: x^3-x^2-11x+3/2x^3-7x^2-19x+60 ≥ 0
I got (x+3)(x^2-4x+1)/(x+3)(2x^2-13x+20)≥0 so far.
can someone please help me what I can do
Algebra.Com
Question 1074611: solve the inequality algebraically: x^3-x^2-11x+3/2x^3-7x^2-19x+60 ≥ 0
I got (x+3)(x^2-4x+1)/(x+3)(2x^2-13x+20)≥0 so far.
can someone please help me what I can do from here?
Thank you.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Break up the number line into regions using the critical points (zeros) of the numerator and denominator.
Test a point in each region to determine if that region is part of the solution set.
Tedious but straightforward.
As an example,
So the critical numbers are -2,1,3,5.
You'd break up the number line into regions,
Region 1 : (,)
Region 2 : (,)
Region 3 : (,)
Region 4 : (,)
Region 5 : (,)
So for Region 1, you could use to test the inequality.
The number you choose is not important just can't be the endpoints of the interval.
True so Region 1 is part of the solution set.
You're more worried about the sign of the value and not the actual value.
Similarly,
Region 2,
Region 3,
Region 4,
Region 5,
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