solving inequalities

Solve algebraically.  $\left(x+3\right)\left(x-2\right)>0$ ?

•  $\left(-2,\ 3\right)$  

•  $\left(-3,2\right)$  

•  $\left(-\infty,-3\right)\cup\left(2,\infty\right)$  

•  $\left(-\infty,-3\right)\cup\left(2,\infty\right)$  

Solve algebraically. $\left(x+7\right)\left(x-5\right)\le0$ ?

•  $\left[-7,\ 5\right]$  

•  $\left[-5,\ 7\right]$  

•  $\left(-\infty,\ -7\right]\cup\left[5,\infty\right)$  

•  $\left(-\infty,\ -5\right]\cup\left[7,\ \infty\right)$  

Solve algebraically. $x^2-5x\ +\ 4\ge0?$  

• 
  

   $\left(-\infty,\ -4\right]U\ \left[\left(-1,\ \infty\right)\right]$  

•  $\left(-\infty,-4\right)U\left(1,\infty\right)$  

•  $\left(-\infty,1\right)U\left(4,\infty\right)$  

•  $\left(-\infty,1\right]U\left[4,\infty\right)$  

Solve: 5x - 10x² < 0

• (0, ½)

• [0, ½]

• (−∞, 0) U (½, ∞)

• (- ½ , 0)

Solve algebraically. x² - 4x - 5 > 0

• ( -∞ , -1) ∪ (5 , ∞)

• ( -∞ , -5) ∪ (1 , ∞)

• ( -1, 5)

• (-5, 1)

Solve algebraically. 6x² - 54 ≤ 0

• (-∞, -3] ∪ [3, ∞)

• (-∞, -3) ∪ (3, ∞)

• (-3, 3)

• [-3, 3]

Solve algebraically.

2x² -3x+1 > 0

• $\left(-\infty,\ \frac{1}{2}\right)\cup\left(1,\ \infty\right)$

• $\left(\frac{1}{2},\ 1\right)$

• $\left[\frac{1}{2},\ 1\right]$

• $\left(-\infty,\ \frac{1}{2}\right]\cup\left[1,\ \infty\right)$

Solve algebraically. x³+5x²+20x < 4x - 3x²

• (−∞, −4)U(0, ∞)

• (−∞, −4)U(-4, 0)

• (−∞, 0]U[4, ∞)

• (−∞, −4]U[0, ∞)