Solve the following linear inequations in

Question 1: Solve: when

i) ii) iii)

Answer:

Given

i) If

Therefore the solution of the given inequation is

ii) If

Therefore the solution of the given inequation is

iii) If

Therefore the solution of the given inequation is

Question 2: Solve: when

i) ii) iii)

Answer:

Given

i) If

Therefore the solution of the given inequation is

ii) If

Therefore the solution of the given inequation is

iii) If

Therefore the solution of the given inequation is This is null set.

Question 3: Solve: when

i) ii) iii)

Answer:

Given

i) If

Therefore the solution of the given inequation is

ii) If

Therefore the solution of the given inequation is

iii) If

Therefore the solution of the given inequation is

Question 4:

Answer:

Given

Therefore the solution of the given inequation is

Question 5:

Answer:

Given

Therefore the solution of the given inequation is

Question 6:

Answer:

Given

Therefore the solution of the given inequation is

Question 7:

Answer:

Therefore the solution of the given inequation is

Question 8:

Answer:

Therefore the solution of the given inequation is

Question 9:

Answer:

Therefore the solution of the given inequation is

Question 10:

Answer:

Therefore the solution of the given inequation is

Question 11:

Answer:

Therefore the solution of the given inequation is

Question 12:

Answer:

Therefore the solution of the given inequation is

Question 13:

Answer:

Therefore the solution of the given inequation is

Question 14:

Answer:

Therefore the solution of the given inequation is

Question 15:

Answer:

Therefore the solution of the given inequation is

Question 16:

Answer:

Therefore the solution of the given inequation is

Question 17:

Answer:

Therefore the solution of the given inequation is

Question 18:

Answer:

Therefore the solution of the given inequation is

Question 19:

Answer:

Case I:

This is not possible

Case II:

Therefore the solution set for the inequation is

Question 20:

Answer:

Case I:

Case II:

Therefore the solution set for the inequation is

Question 21:

Answer:

Case I:

Case II:

Therefore the solution set for the inequation is

Question 22:

Answer:

Case I:

Case II:

Therefore the solution set for the inequation is

Question 23:

Answer:

Case I:

Case II:

Therefore the solution set for the inequation is

Question 24:

Answer:

Case I:

Case II:

This is not possible.

Therefore the solution set for the inequation is

Question 25:

Answer:

Case I:

Case II:

Therefore the solution set for the inequation is

Question 26:

Answer:

Case I:

This is not possible.

Case II:

Therefore the solution set for the inequation is

Question 27:

Answer:

Case I:

This is not possible.

Case II:

Therefore the solution set for the inequation is

Question 28:

Answer:

Case I:

Case II:

Therefore the solution set for the inequation is