ICSE Class 10CISCE
Share
Notifications

View all notifications

Frank solutions for Class 10 Maths chapter 5 - Linear Inequations

Login
Create free account


      Forgot password?

Chapters

Frank Class 10 Mathematics Part 2 - Shaalaa.com

Chapter 5: Linear Inequations

Exercise 5.1

Frank solutions for Class 10 Maths Chapter 5 Exercise Exercise 5.1 [Pages 74 - 75]

Exercise 5.1 | Q 1.1 | Page 74

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

x + 5 > 11 

Exercise 5.1 | Q 1.2 | Page 74

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

 2x + 1 < 17 

Exercise 5.1 | Q 1.3 | Page 74

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

3x - 5 < 7 

Exercise 5.1 | Q 1.4 | Page 74

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

8 - 3x > 2 

Exercise 5.1 | Q 1.5 | Page 74

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

5 - 2x < 11 

Exercise 5.1 | Q 2.01 | Page 74

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

3x >12 

Exercise 5.1 | Q 2.02 | Page 74

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

 2x - 3 < 7  

Exercise 5.1 | Q 2.03 | Page 74

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

3x + 2 ≤ 11 

Exercise 5.1 | Q 2.04 | Page 74

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

14 - 3x > 5 

Exercise 5.1 | Q 2.05 | Page 74

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

7x + 11 > 16 - 3x 

Exercise 5.1 | Q 2.06 | Page 74

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

3x + 25 < 8x - 10 

Exercise 5.1 | Q 2.07 | Page 74

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

2(3x - 5) ≤ 8 

Exercise 5.1 | Q 2.08 | Page 74

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

x + 7 ≥ 15 + 3x 

Exercise 5.1 | Q 2.09 | Page 74

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

2x - 7 ≥  5x + 8

Exercise 5.1 | Q 2.1 | Page 74

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

9 - 4x ≤ 15 - 7x 

Exercise 5.1 | Q 3 | Page 75

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

Exercise 5.1 | Q 4 | Page 75

Solve for x : 3 - 2x ≥ x - 12, x ∈  N 

Exercise 5.1 | Q 5 | Page 75

Solve for x: 5x - 9 ≤ 15 - 7x ,  x ∈ W 

Exercise 5.1 | Q 6 | Page 75

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

Exercise 5.1 | Q 7 | Page 75

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

Exercise 5.1 | Q 8 | Page 75

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

Exercise 5.1 | Q 9 | Page 75

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

Exercise 5.1 | Q 10 | Page 75

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

Exercise 5.1 | Q 11.1 | Page 75

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

 x ∈  Z 

Exercise 5.1 | Q 11.2 | Page 75

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

x ∈ R

Exercise 5.1 | Q 12 | Page 75

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

(i) x ∈ R

(ii) x ∈ Z

Exercise 5.1 | Q 13.01 | Page 75

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

2x - 11≤ 7 - 3x, x ∈ N 

Exercise 5.1 | Q 13.02 | Page 75

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

3(5x+ 3) ≥ 2(9x-17), x ∈ W 

Exercise 5.1 | Q 13.03 | Page 75

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

2(3x-5) > 5(13-2x), x ∈ W 

Exercise 5.1 | Q 13.04 | Page 75

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

3x - 9 ≤ 4x - 7 < 2x + 5,  x ∈  R 

Exercise 5.1 | Q 13.05 | Page 75

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

2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R  

Exercise 5.1 | Q 13.06 | Page 75

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

Exercise 5.1 | Q 13.07 | Page 75

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

Exercise 5.1 | Q 13.08 | Page 75

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

Exercise 5.1 | Q 13.09 | Page 75

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

Exercise 5.1 | Q 13.1 | Page 75

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

Exercise 5.1 | Q 14.1 | Page 75

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

Exercise 5.1 | Q 14.2 | Page 75

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

Exercise 5.1 | Q 14.3 | Page 75

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 

Exercise 5.1 | Q 15.1 | Page 75

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

Exercise 5.1 | Q 15.2 | Page 75

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

Exercise 5.1 | Q 15.3 | Page 75

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'

Exercise 5.1 | Q 16.1 | Page 75

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

Exercise 5.1 | Q 16.2 | Page 75

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

Exercise 5.1
Frank Class 10 Mathematics Part 2 - Shaalaa.com

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.

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 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.

Get the free view of chapter 5 Linear Inequations Class 10 extra questions for Maths and can use Shaalaa.com to keep it handy for your exam preparation

S
View in app×