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Know Your Boundaries!

Total questions: 6

Worksheet time: 10mins

Name
Class
Date
1.

It is an equality that contains a

polynomial of degree 2 and can be written in any of the

following forms. Where a, b and c are real numbers and a ≠ 0.

ax2+bx+c>0         ax2+bx+c0  ax^2+bx+c>0\ \ \ \ \ \ \ \ \ ax^2+bx+c\ge0\ \   ax2+bx+c<0          ax2+bx+c0ax^2+bx+c<0\ \ \ \ \ \ \ \ \ \ ax^2+bx+c\le0  

a)

Quadratic Equation

b)

Quadratic Inequality

c)

Quadratic Expression

d)

Quadratic Function

2.

The following symbols are used to denote inequality except

a)

<<  

b)

\ge  

c)

==  

d)

>>  

3.

Which of the following is an example of quadratic inequality?

a)

2x2+3x+4>02x^2+3x+4>0  

b)

15x1015x\ge10  

c)

x2x+15<30x^2-x+15<-30  

d)

x2+4x5=0x^2+4x-5=0  

4.

What is the solution of the quadratic inequality 2x2x<152x^2−x<15  ?

a)

(52,3)\left(-\frac{5}{2},3\right)  

b)

[52,3]\left[-\frac{5}{2},3\right]  

c)

(,52)(3,+)(−∞,-\frac{5}{2})\cup(3,+∞)  

d)

(,52)(3,+)\left(−∞,\frac{5}{2}\right)\cup\left(3,+∞\right)  

5.

Solve for the Inequality: x2+2x30x^2+2x−3\le0  

a)

(3,1)\left(-3,1\right)  

b)

(3,1).\left(-3,-1\right).  

c)

(,3)(1,+)(−∞,−3)\cup(1,+∞)  

d)

[3,1][-3,1]  

6.

What is the solution of the quadratic inequality x212>4xx^2-12>4x  ?

a)

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

b)

  [2,6]\left[-2,6\right]