SOLUTION: Can you help me with the following problem: (x+5)/(x-2)>_ (the previous sign is greater than or equal to) 0 Thanks

Question 192188: Can you help me with the following problem:
(x+5)/(x-2)>_ (the previous sign is greater than or equal to) 0
Thanks
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
(x+5)/(x-2)>=0
x cannot be 2 because there would be division by zero, so 2 is an inflection point.
Let (x+5)/(x-2)=0
x+5=0 multiply each side by x-2
x=-5 another inflection point is -5.
Now we test points on either side of the inflection points to see if the equation is >=0
Let x=-6: (-6+5)/(-6-2)>=0 true
Let x=-4: (-4+5)/(-4-2)>=0 false
Let x=3: (3+5)/(3-2)>=0 true
.
x(infinity, -5] U (2, infinity) answer.
.
Ed
RELATED QUESTIONS
solve the inequality, graph the solution set, and write the answer in interval notation. (answered by jai_kos)

Can I please have help with this, thank you! Graph the following systems of... (answered by Alan3354,ikleyn)

Please help me solve this problem: Solve the nonlinear equality (3+x/3-x) > 1 (The... (answered by lynnlo)

Can somone please tell me how to do this i am so confused. Let X be a random variable... (answered by stanbon)

I have one I haven't been able to figure out. Can anyone help me out? Thanks... (answered by stanbon)

Can you please help me with this problem : 12x^2 + 5x - 25 >_ 0 Greater than or... (answered by stanbon)

Please help me with this problem. Thank You! Graph the function. f(x)= 4x+2, if... (answered by jim_thompson5910)

Can anyone please graph the following: 5x+8, if x is less than 0 2x^2-5, if x is... (answered by Fombitz)

which of the following expressions is equivalent to 20-4/5x greater or equal to 16?... (answered by sofiyac)