algebra
posted by sarah .
Solve the following inequality and write answer using interval notation. Please show all of your work.
2x5/3x^4x^3+275x125>=0

algebra 
Steve
Your casual use of parentheses makes me assume you mean
(2x5)/(3x^4  x^3 + 275x  125) >= 0
let's try to factor the denominator. We get not much help.
You sure you don't mean
3x^4  x^3 + 375x  125?
That would be
x^3 (3x1) + 125(3x1)
(x^3+125)(3x1)
(x+5)(x^2  25x + 25)(3x1)
Anyway, working with your original function, the denominator is positive when x < 4.54 or x > 0.45
The numerator is positive when x > 2.5
If you plot the points 4.54, 0.45, 2.5 on the number line, you will see
on (oo,4.54) we have +/ so y < 0
on (4.54,0.45) we have / so y > 0
on (0.45,2.5) we have +/ so y < 0
on (2.5,oo) we have +/+ so y > 0
y>0 on [4.54,0.45] U [2.5,oo)
Respond to this Question
Similar Questions

Algebra
Solve the following inequality. (x4/x+2)>0 Write your answer using interval notation. 
Algebra
Solve the following inequality. (x4)/(x+2)>0 Write your answer using interval notation 
Algebra
Solve the following inequality. (x4)/(x+2)>0 Write your answer using interval notation 
Solve Inequality
Solve the inequality. Express your solution using interval notation and please show all of your work. x(x + 6)(8 – x) >= 0 I need help, I guess I'm not understanding the interval notation portion. I know, that when 0 <= x <= … 
Math Problem3
Solve the following inequality and write your answer using interval notation. Please show all of your work. (1 / (x+8) ) ≤ ((85x)/43) 
Math  Problem4
Solve the inequality. Express your solution using interval notation and please show all of your work. x^4  7x^2  14 > 0 
math
solve the inequality, write answer using interval notation pleas show the work 50/x+4+1<4x 
algebra
Solve the following inequality and write your answer using interval notation . Please show all your work 10^3 + 6x^2  90x  54 < 0 
college algebra
solve the following inequality. write the answer in interval notation x^34x^221x<0 please show work so i can understand this problem better! thanks 
calculus
solve the following inequality. write your solution in interval notation. x^3+9x^2108 less than or equal to 0 please show all work