*Note: Refer to the following if you need clarifications.* *Reference on Numbers*

Question 1: State True or False:

Question 2: State True or False: Given that , are real numbers and

; then

Question 3: If , find the solution set of the inequations:

Answer

Question 4: If the replacement set is a set of whole numbers, solve:

Answer

Question 5: Solve the inequation: given that [1987]

Answer

Question 6: If , find: i) the smallest value of , when is a real number ii) smallest value of when is an integer

Answer

Therefore if is a real number the and if is an integer then

Question 7: If the replacement set is a set of real numbers, solve

Answer

Question 8: Find the smallest value of for which , where .

Answer

Therefore

Question 9: Find the largest value of for which and .

Answer

Therefore

Question 10: Solve the inequation: and . [1999]

Answer

Question 11: Given , find the solution set for

Answer

Equation 1:

Equation 2:

Therefore

Question 12: , find the solution set for

Answer

Equation 1:

Equation 2:

Therefore