Initial Diagnostic Audit - Unit F6: Solving Inequalities
Section F6.1 - Inequalities on a Number Line
1. Complete inequality that describes the region:

     xClick to select an appropriate inequality

2. Complete inequality that describes the region:

     xClick to select an appropriate inequality

3. Complete inequality that describes the region:

     Click to select an appropriate inequality xClick to select an appropriate inequality

4. List all the whole numbers which satisfy the inequality

3 x < 6

(Separate each number by a comma)     x =

Section F6.2 - Solution of Linear Inequalities
5. Solve the inequality 2x – 5 7 x
6. Solve the inequality 5(x – 2) > 15 x >
7.
Solve the inequality 4 – 3x -11 x   Click to select an appropriate inequality  
8.
Solve the inequality 5 < 6x – 7 < 29    Click to select an appropriate inequality  x   Click to select an appropriate inequality  
Section F6.3 - Inequalities Involving Quadratic Terms

9.		 Solve the inequality x2 16

x


10.		 Solve the inequality x2 + 9 > 13

x > or x <


11.		 Solve the inequality (x – 2)(x + 1) < 0

< x <


12.		 Solve the inequality (x – 1)(x + 4) 0

x or x

Section F6.4 - Graphical Approach to Inequalities
13. Find the inequality represented by the shaded region.

y   Click to select an appropriate inequality   x

14. Find the inequality represented by the shaded region.

y + x   Click to select an appropriate inequality   

15. Find the inequality represented by the shaded region.

y   Click to select an appropriate inequality   x

Section F6.5 - Dealing with More than One Inequality
16. Identify the four inequalities that define the shaded region shown below.

(a) Line 1  y   Click to select an appropriate inequality   x

(b) Line 2  y

(c) Line 3  y x +

(d) Line 4  y

(e) What is the maximum value of the function x + y that satisfies all the inequalities above?

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Produced by Russell Geach for CIMT - May 2013