Non-linear inequalities (one variable)

What are the critical values of 
 $10x^2-27x+18\le0$  

•  $\frac{3}{2}$  and  $\frac{6}{5}$  

•  $-\frac{3}{2}$  and  $-\frac{6}{5}$  

•  $\left(-\infty,\frac{6}{5}\right]$   $\cup\left[\frac{3}{2},\infty\right)$  

•  $\left[\frac{6}{5},\frac{3}{2}\right]$  

What is the quadratic positive?

• 4 < x < 6

• x < 4 and x > 6

• x = 4, x = 6

• From 4 to 6

x^2 - 9x + 20 > 0

• x < 4 and x > 5

• x > 4 and x < 5

• x < -5 and x > 4

• x > -4 and x < -5

• (-7,-4)

• (-3,0)

• (-8,-5)

• (-10,0)

Solve:

(x - 1)(x - 2)(x - 4) ≤0

• (-∞, 1)U(2, 4)

• (-∞, 1]U[2, 4]

• [1, 2]U[4, ∞)

• (-1, 4)

The following parabola has:

• One solution

• Two solutions

• No Solution

• Infinitely many solutions

Solve the quadratic inequality: 3x^2 - 2x + 1 ≥ 0

• x ∈ (-∞, 0)

• x ∈ (-∞, +∞)

• x ∈ (0, 1)

• x ∈ (1, +∞)