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)