Question 1 : Represent the following inequalities on real number lines:

i)

ii)

iii)

iv)

v)

vi)

vii)

Question 2: For each graph given alongside, write an inequation taking as the variable:

i)

ii)

iii)

iv)

Question 3: For the following inequations, graph the solution set on the real number line:

i)

ii)

Hence

Question 4: Represent the solution of each of the following inequalities on a real number line:

i)

ii)

iii)

iv)

v)

vi)

Question 5: , evaluate and represent it on a number line.

Answer:

Question 6: List the elements of the solution set of the inequation .

Answer:

Hence

Question 7: Find the range of values of which satisfies

Answer:

Therefore

Question 8: Find the range of values of which satisfies . Graph the solution on a number line.

Answer:

Therefore

Question 9: Given , find the range of the values of for which and represent it on number line.

Answer:

Therefore

Question 10: If , express it as and state the values of .

Answer:

Therefore

Hence

Question 11: Solve the following inequation and graph the solution on a number line:

Answer:

Question 12: Solve and graph the solution set of the following:

Answer:

i)

Therefore

ii)

iii)

Therefore solution set is Empty Set.

Question 13: Solve and graph the solution set of:

Answer:

i)

Therefore

ii)

Therefore

Question 14: Given . Represent and on two different number lines.

Answer:

Therefore

Question 15: Use real number line to find the range of value of for which:

Answer:

i)

ii)

iii)

Question 16: Illustrate the set on a real number line.

Answer:

Question 17: Given and . Represent on different number lines

Answer:

i) ii) iii)