#### Chapters

Chapter 2: Sales Tax and Value Added Tax

Chapter 3: Banking

Chapter 4: Shares and Dividends

Chapter 5: Linear Inequations

Chapter 6: Quadratic Equations

Chapter 7: Problems Based On Quadratic Equations

Chapter 8: Reflection

Chapter 9: Ratio and Proportion

Chapter 10: Remainder And Factor Theorems

Chapter 11: Matrices

Chapter 12: Distance and Section Formulae

Chapter 13: Equation of A Straight Line

Chapter 14: Symmetry

Chapter 15: Similarity

Chapter 16: Loci

Chapter 17: Circles

Chapter 18: Constructions

Chapter 19: Mensuration I

Chapter 20: Mensuration II

Chapter 21: Trigonometric Identities

Chapter 22: Heights and Distances

Chapter 23: Graphical Representations

Chapter 24: Measures Of Central Tendency

Chapter 25: Probability

## Chapter 5: Linear Inequations

### Frank solutions for ICSE Class 10 Mathematics Part 2 Chapter 5 Linear Inequations Exercise 5.1 [Pages 74 - 75]

Solve for x in the following in equation, if the replacement set is N<10:

x + 5 > 11

Solve for x in the following in equation, if the replacement set is N<10:

2x + 1 < 17

Solve for x in the following in equation, if the replacement set is N<10:

3x - 5 < 7

Solve for x in the following in equation, if the replacement set is N<10:

8 - 3x > 2

Solve for x in the following in equation, if the replacement set is N<10:

5 - 2x < 11

Solve for x in the following in-equation, if the replacement set is R;

3x >12

Solve for x in the following in-equation, if the replacement set is R;

2x - 3 < 7

Solve for x in the following in-equation, if the replacement set is R;

3x + 2 ≤ 11

Solve for x in the following in-equation, if the replacement set is R;

14 - 3x > 5

Solve for x in the following in-equation, if the replacement set is R;

7x + 11 > 16 - 3x

Solve for x in the following in-equation, if the replacement set is R;

3x + 25 < 8x - 10

Solve for x in the following in-equation, if the replacement set is R;

2(3x - 5) ≤ 8

Solve for x in the following in-equation, if the replacement set is R;

x + 7 ≥ 15 + 3x

Solve for x in the following in-equation, if the replacement set is R;

2x - 7 ≥ 5x + 8

Solve for x in the following in-equation, if the replacement set is R;

9 - 4x ≤ 15 - 7x

Solve for x : 6 - 10x < 36, x ∈ {-3, -2, -1, O, 1, 2}

Solve for x : 3 - 2x ≥ x - 12, x ∈ N

Solve for x: 5x - 9 ≤ 15 - 7x , x ∈ W

Solve for x : 7 + 5x > x - 13, where x is a negative integer.

Solve for x : 5x - 14 < 18 - 3x, where x ∈ W

Solve for x : 2x + 7 ≥ 5x - 14, where x is a positive prime number.

Solve for x : `"x"/4 + 3 <= "x"/3 + 4` , where xis a negative odd number.

Solve for x : `("x" + 3)/3 <= ("x" + 8)/4` , where x is a positive even number.

If x + 17 ≤ 4x + 9, find the smallest value of x, when:

x ∈ Z

If x + 17 ≤ 4x + 9, find the smallest value of x, when:

x ∈ R

If `(2 "x" + 7)/3 <= (5 "x" +1)/4` , find the smallest value of x, when:

(i) x ∈ R

(ii) x ∈ Z

Solve the following linear in-equation and graph the solution set on a real number line:

2x - 11≤ 7 - 3x, x ∈ N

Solve the following linear in-equation and graph the solution set on a real number line:

3(5x+ 3) ≥ 2(9x-17), x ∈ W

Solve the following linear in-equation and graph the solution set on a real number line:

2(3x-5) > 5(13-2x), x ∈ W

Solve the following linear in-equation and graph the solution set on a real number line :

3x - 9 ≤ 4x - 7 < 2x + 5, x ∈ R

Solve the following linear in-equation and graph the solution set on a real number line:

2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R

Solve the following linear in-equation and graph the solution set on a real number line:

`-3 <= 1/2 - (2 "x")/3 <= 2 2/3` , x ∈ N

Solve the following linear in-equation and graph the solution set on a real number line :

`4 3/4 >= "x" + 5/6 > 1/3` , x ∈ R

Solve the following linear in-equation and graph the solution set on a real number line :

`1/3 (2x - 1) < 1/4 (x + 5) < 1/6 (3x + 4)`, x ∈ R

Solve the following linear in-equation and graph the solution set on a real number line:

`1/3 (5"x" - 8) >= 1/2 (4"x" - 7) `, x ∈ R

Solve the following linear in-equation and graph the solution set on a real number line:

`5/4 "x" > 1 + 1/3 (4"x" - 1)` , x ∈ R

If P = { x : -3 < x ≤ 7, x ∈ R} and Q = { x : - 7 ≤ x < 3, x ∈ R} , represent the following solution set on the different number lines :

P ∩ Q

If P = { x : -3 < x ≤ 7, x ∈ R} and Q = { x : - 7 ≤ x < 3, x ∈ R} , represent the following solution set on the different number lines:

Q' ∩ P

If P = { x : -3 < x ≤ 7, x ∈ R} and Q = { x : - 7 ≤ x < 3, x ∈ R} , represent the following solution set on the different number lines:

P-Q

If P = {x : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:

P ∩ Q

If P = {x : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:

P - Q

If P = {x : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:

P ∩ Q'

If P = {x : 7x - 4 > 5x + 2, x ∈ R} and Q - {x : x - 19 ≥ 1 - 3x, x ∈ R}, represent the following solution set on different number lines:

P ∩ Q

If P = {x : 7x - 4 > 5x + 2, x ∈ R} and Q - {x : x - 19 ≥ 1 - 3x, x ∈ R}, represent the following solution set on different number lines:

P' ∩ Q

## Chapter 5: Linear Inequations

## Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 5 - Linear Inequations

Frank solutions for ICSE Class 10 Mathematics Part 2 chapter 5 (Linear Inequations) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE ICSE Class 10 Mathematics Part 2 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in ICSE Class 10 Mathematics Part 2 chapter 5 Linear Inequations are Linear Inequations in One Variable, Solving Algebraically and Writing the Solution in Set Notation Form, Representation of Solution on the Number Line.

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