Solving Quadratic Inequalities in One Variable

Which is the solution set of  $\left(x+3\right)\left(x-2\right)>0$ ?

•  $\left(-2,\ 3\right)$  

•  $\left(-3,2\right)$  

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

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Which of the following is a solution to $x^2<9$  ? (choose all that apply)

• -3

• -2

• 0

• 4

Which of the following graph is the same as the interval  $\left[-5,4\right]$ ?

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• 
• 
• 

Tags

CCSS.6.NS.C.6

Which of the following shows the graph of the solution set of $x^2-5x-14>0$ ?

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• 
• 
• 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

Which is the solution set of $\left(x+7\right)\left(x-5\right)\le0$ ?

•  $\left[-7,\ 5\right]$  

•  $\left[-5,\ 7\right]$  

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

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

Which of the following is the same as the given graph?

• $\left(-2,\ 3\right)$

• $\left[-2,\ 3\right]$

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

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

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

CCSS.HSA.REI.D.11

Which of the following is a solution of $\left(x-2\right)^2>0$  ? (choose all that apply)

• -1

• 0

• 1

• 2

Which of the following is true about $x^2\le0$ ?

• It has no solution.

• It has one solution.

• It has exactly two solutions.

• It has infinitely many solution.

Which is the solution set of $2x^2-7x+3\ge0$ ?

•  $\left\{x|\ \frac{1}{2}\le x\le3\right\}$  

•  $\left\{x|\ -3\le x\le-\frac{1}{2}\right\}$  

•  $\left\{x|\ x\le\frac{1}{2}<\cup\ \ x\ge3\right\}$  

•  $\left\{x|\ x\le-3\ \ \ \cup\ \ x\ge-\frac{1}{2}\right\}$  

Which of the following is the same as the given graph? (check all that apply)

•  $\left\{x|\ x\ge-5<\cup\ \ x\le4\right\}$  

•  $\left[-5,\ 4\right]$  

•  $\left(-\infty,\ 5\right]\ \cup\ \left[4,\ \infty\right)$  

•  $\left\{x|-5\le\ x\le4\right\}$  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.3