Question 422394
1. x^4 < x^2
Divide both sides by x^2, results
x^2 < 1
:
2. {{{2/(x+8) > 3/(x-9)}}}
Cross multiply
2(x-9) > 3(x-9)
2x - 18 > 3x - 27
3x - 3x > - 27 + 18
-x > - 9
x has to be positive, mult both sides by -1, this reverses the inequality sign
x < 9
:
3. x^3 - 5x^2 - 5x + 25 > 0
graph this
{{{ graph( 300, 200, -5, 10, -20, 30, x^3 - 5x^2 - 5x + 25) }}}
you can see x > 0 -2.2 to +2.2; when x > 5