# algebra

posted by .

2x-5/3x^4-x^3+275x-125>=0

• algebra -

Your casual use of parentheses makes me assume you mean

(2x-5)/(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 (3x-1) + 125(3x-1)
(x^3+125)(3x-1)
(x+5)(x^2 - 25x + 25)(3x-1)

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)

## Similar Questions

4. ### 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 <= …
5. ### Math- Problem3

Solve the following inequality and write your answer using interval notation. Please show all of your work. (1 / (x+8) ) ≤ ((8-5x)/43)
6. ### Math - Problem4

Solve the inequality. Express your solution using interval notation and please show all of your work. x^4 - 7x^2 - 14 > 0
7. ### math

solve the inequality, write answer using interval notation pleas show the work 50/x+4+1<4x
8. ### algebra

Solve the following inequality and write your answer using interval notation . Please show all your work 10^3 + 6x^2 - 90x - 54 < 0
9. ### college algebra

solve the following inequality. write the answer in interval notation x^3-4x^2-21x<0 please show work so i can understand this problem better! thanks
10. ### calculus

solve the following inequality. write your solution in interval notation. x^3+9x^2-108 less than or equal to 0 please show all work

More Similar Questions