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.
Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.
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.
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.
Get the free view of chapter 5 Linear Inequations Class 10 extra questions for ICSE Class 10 Mathematics Part 2 and can use Shaalaa.com to keep it handy for your exam preparation