#### 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 Class 10 Maths Chapter 5 Exercise 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 Class 10 Mathematics chapter 5 - Linear Inequations

Frank solutions for Class 10 Maths 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 Frank 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 Class 10 Mathematics chapter 5 Linear Inequations are Linear Inequations in One Unknown, Solving Algebraically and Writing the Solution in Set Notation Form, Representation of Solution on the Number Line.

Using Frank Class 10 solutions Linear Inequations exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 10 prefer Frank Textbook Solutions to score more in exam.

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