Question

( frac{x(x-1)^{2}left(x^{2}-7 x+10right)(2 x-1)^{2}}{(x-1)^{5}(2 x-3)^{2}} geq 0 )
( Rightarrow frac{x(x-1)^{2}(x-5)(x-2)(2 x-1)^{2}}{(x-1)^{5}(2 x-3)^{2}} geq 0 )
plotting the roots on no. line
( therefore ) the solution set
[
(-infty, 0) cup(1,2] cup[5, infty) sim{3,}
]

# Solve for xe R: x(x - 1)? (x2 - 7x + 10)(2x – 1)2 (x-1)5 (2x - 3)? 20 (a)

Solution