Page 9 - Past Year

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CHAPTER 2: INEQUALITIES AND ABSOLUTE VALUES

1. Find the solution set for the inequalities (x x  5)  2x  10.


2. Solve the inequality x  3 2x  5.

 1  2 1
3. Find the set of values of x for x    x  .

 2  4


. c
.
4. Define x  Hence, solve 1 2x  2 x
5. Solve the following inequalities
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(a) 3x   3x  4
x
1
x
(b) 2x    3

6. Solve the inequalities
x   12  0.
2
x
7. Solve
2
7x    x  4 .
2
x
6
8. Solve the following.
2x  3 3x  2
2

(a)
(3x  5)(x  2)  4
(b)


9. If 2x  4  6, find the values of m and n such that m  x n  3 .
10. Determine the solution set which satisfies the following inequalities:

 x x   2  3x  2.
(a)

(b) 3 2x  5.

11. (a) Find the solution set of the inequality 3x  2  x .

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(b) Determine the solution set for x  16 .
12. (a) Determine the solution set for ( + 6) < 3 + 4 .

(b) Solve | 5 +1 | > 3 and express your answer in interval notation.
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