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NOTHINGGG

Total questions: 4

Worksheet time: 9mins

Name
Class
Date
1.

Solve the rational inequality and state your solution in interval notation.


 x2+4x−12x2−4x+4>0\frac{x^2+4x-12}{x^2-4x+4}>0  

a)

 (−∞, −2]∪[6, +∞)\left(-\infty,\ -2\right]\cup\left[6,\ +\infty\right)  

b)

 (−∞, −2)∪(6, +∞)\left(-\infty,\ -2\right)\cup\left(6,\ +\infty\right)  

c)

 (−∞, −6]∪[2, +∞)\left(-\infty,\ -6\right]\cup\left[2,\ +\infty\right)  

d)

 (−∞, −6)∪(2, +∞)\left(-\infty,\ -6\right)\cup\left(2,\ +\infty\right) 

2.

 Solve the rational inequality and state your solution in interval notation.


 9−x2x+1≤0\frac{9-x^2}{x+1}\le0 


a)

 [−3, −1)∪[3,+∞)\left[-3,\ -1\right)\cup\left[3,+\infty\right)  

b)

 [−1, 0]∪[3,+∞)\left[-1,\ 0\right]\cup\left[3,+\infty\right)  

c)

 (−∞,−1)∪(−1, 3)(-∞,-1)\cup(-1,\ 3)  

d)

 (−∞,−3)∪(−3,3)(-∞,-3)\cup(-3,3)  

3.

Solve for x:
 −x−6x+3>0\frac{-x-6}{x+3}>0  

a)

 (−6,−3)\left(-6,-3\right)  

b)

 [−6, −3)\left[-6,\ -3\right)  

c)

 (−∞, −6)∪(−3, ∞)\left(-\infty,\ -6\right)\cup\left(-3,\ \infty\right)  

d)

 (−∞, −6]∪[−3, ∞)\left(-\infty,\ -6\right]\cup\left[-3,\ \infty\right)  

4.

Solve for x:
 3xx+4−1≥0\frac{3x}{x+4}-1\ge0  

a)

 (−∞,−4]∪[2, ∞]\left(-\infty,-4\right]\cup\left[2,\ \infty\right]  

b)

 (−4, 2]\left(-4,\ 2\right]  

c)

 [−4, 2]\left[-4,\ 2\right]  

d)

 (−∞,−4)∪[2, ∞)\left(-\infty,-4\right)\cup\left[2,\ \infty\right)