Basics of Test Point Method

Q1

Solve \(x\left( 2-x \right)\left( x-3 \right)>0\).

Q2

Solve \(\left( x+5 \right)\left( 2x+1 \right)\left( x-4 \right)\le 0\).

Q3

Solve \(\left( x+5 \right){{\left( x+3 \right)}^{2}}\left( x-4 \right)\ge 0\).

Q4

Solve \(\left( 3-2x \right){{\left( 2x-5 \right)}^{2}}\left( x+1 \right)\ge 0\).

Q5

Solve \(\left( 3-{{x}^{2}} \right){{\left( 1-x \right)}^{2}}\left( {{x}^{2}}+2 \right)>0\).

Q6

Solve \({{x}^{2}}\left( 5-{{x}^{2}} \right)\left( {{x}^{2}}+x+5 \right)\le 0\).

Q7

Solve \(\frac{(2x-5)(x-1)}{x(x+2)}\ge 0\).

Q8

Solve \(\frac{(x+2)(3x+2)}{x(x-1)}\le 0\).

Q9

Solve \(\frac{{{x}^{2}}+1}{{{x}^{2}}(x-1)}\ge 0\).

Q10

Solve \(\frac{x-5-{{x}^{2}}}{({{x}^{2}}+1)(x+2)}\le 0\).

Q11

Solve \(\frac{(x+2)(3x+2)}{x{{(x-1)}^{2}}}\le 0\).

Q12

Solve \(\frac{(1-x)\left( 3x-5 \right)}{x{{\left( x-1 \right)}^{3}}}\ge 0\).