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Question 14:
Solve the given inequality for real x: 37 – (3x + 5) ≥ 9x – 8(x – 3)
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Question 17:
Solve the given inequality and show the graph of the solution on number line: 3x – 2 < 2x +1
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Question 18:
Solve the given inequality and show the graph of the solution on number line: 5x – 3 ≥ 3x – 5
Page No 122:
Solve the given inequality and show the graph of the solution on number line: 3(1 – x) < 2 (x + 4)
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Question 20:
Solve the given inequality and show the graph of the solution on number line: 
Page No 123: Question 26: A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5 cm longer than the second? [Hint: If x is the length of the shortest board, then x, (x + 3) and 2x are the lengths of the second and third piece, respectively. Thus, x = (x + 3) + 2x ≤ 91 and 2x ≥ (x + 3) + 5]
Page No 127: Question 1: Solve the given inequality graphically in two-dimensional plane: x + y < 5
Page No 127:
Question 2:
Solve the given inequality graphically in two-dimensional plane: 2x + y ≥ 6
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Question 2:
Solve the given inequality graphically in two-dimensional plane: 2x + y ≥ 6
Page No 127:
Question 4:
Solve the given inequality graphically in two-dimensional plane: y + 8 ≥ 2x
Page No 127:
Question 4:
Solve the given inequality graphically in two-dimensional plane: y + 8 ≥ 2x
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Question 5:
Solve the given inequality graphically in two-dimensional plane: x – y ≤ 2
Page No 127:
Question 6:
Solve the given inequality graphically in two-dimensional plane: 2x – 3y > 6
Page No 127: Question 7: Solve the given inequality graphically in two-dimensional plane: –3x + 2y ≥ –6
Page No 127:
Question 8:
Solve the given inequality graphically in two-dimensional plane: 3y – 5x < 30
Page No 127:
Question 9:
Solve the given inequality graphically in two-dimensional plane: y < –2
Page No 127: Question 10: Solve the given inequality graphically in two-dimensional plane: x > –3
Page No 129: Question 2: Solve the following system of inequalities graphically: 3x + 2y ≤ 12, x ≥ 1, y ≥ 2
Page No 129:
Question 3:
Solve the following system of inequalities graphically: 2x + y≥ 6, 3x + 4y ≤ 12
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Question 4:
Solve the following system of inequalities graphically: x + y≥ 4, 2x – y > 0
Page No 129:
Question 6:
Solve the following system of inequalities graphically: x + y ≤ 6, x + y ≥ 4
Page No 129:
Question 7:
Solve the following system of inequalities graphically: 2x + y≥ 8, x + 2y ≥ 10
Page No 129:
Question 8:
Solve the following system of inequalities graphically: x + y ≤ 9, y > x, x ≥ 0
Page No 129:
Question 9:
Solve the following system of inequalities graphically: 5x + 4y ≤ 20, x ≥ 1, y ≥ 2
Page No 129:
Question 10:
Solve the following system of inequalities graphically: 3x + 4y ≤ 60, x + 3y ≤ 30, x ≥ 0, y ≥ 0
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Question 11:
Solve the following system of inequalities graphically: 2x + y≥ 4, x + y ≤ 3, 2x – 3y ≤ 6
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Question 12:
Solve the following system of inequalities graphically:
x – 2y ≤ 3, 3x + 4y ≥ 12, x ≥ 0, y ≥ 1
Page No 129: Question 13: [[Q]] Solve the following system of inequalities graphically: 4x + 3y ≤ 60, y ≥ 2x, x ≥ 3, x, y ≥ 0
Page No 129: Question 14: Solve the following system of inequalities graphically: 3x + 2y ≤ 150, x + 4y ≤ 80, x ≤ 15, y ≥ 0, x ≥ 0
Page No 129: Question 15: Solve the following system of inequalities graphically: x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0
Page No 132:
Question 7:
Solve the inequalities and represent the solution graphically on number line: 5x + 1 > –24, 5x – 1 < 24
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Question 8:
Solve the inequalities and represent the solution graphically on number line: 2(x – 1) < x + 5, 3(x + 2) > 2 – x
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Question 9:
Solve the following inequalities and represent the solution graphically on number line:
3x – 7 > 2(x – 6), 6 – x > 11 – 2x
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Question 10:
Solve the inequalities and represent the solution graphically on number line: 5(2x – 7) – 3(2x + 3) ≤ 0, 2x + 19 ≤ 6x + 47
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Question 12:
A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?
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Question 13:
How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
