CBSE Class 11 Mathematics Linear Inequalities Worksheet

Read and download free pdf of CBSE Class 11 Mathematics Linear Inequalities Worksheet. Students and teachers of Class 11 Mathematics can get free printable Worksheets for Class 11 Mathematics Chapter 6 Linear Inequalities in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 11 students should practice questions and answers given here for Mathematics in Class 11 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 11 Mathematics Worksheets prepared by school teachers as per the latest NCERT, CBSE, KVS books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 11 Mathematics Chapter 6 Linear Inequalities

Class 11 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 6 Linear Inequalities in Class 11. This test paper with questions and answers for Class 11 will be very useful for exams and help you to score good marks

Class 11 Mathematics Worksheet for Chapter 6 Linear Inequalities

Q1. Solve 4x-7 ≥ 5x-2 when (i) x is a natural number (ii) x is an integer (iii) x is a real number.

Q2. Solve the following linear inequations, show the solution on number line:-
(i) 2x-3/4 + 9 ≥ 4x/3 
(ii) 3(x-2)/5 ≥ 5(2 – x)/3 
(iii) x + 3 ≤ 2 / x – 2
(iv) 5x – 2 / 3 - 7x – 3 / 5 ≥ x/4
(v) 3x + 17 ≤ 2(1 – x)
(vi) 2x+4 ≥ 5/x-1

Q3. Solve the system of inequalities and represent the solutions on the number line.
(i) 5x/4 + 3x/8 > 39/8, 2x–1/12 – x–1/3 ≤ 3x + 1/4
(ii) 2(2x + 3) – 10 ≤ 6 (x – 2), 2x – 3/4 + 6 ≥ 2 + 4x/3
(iii) x/2x+1 ≥ 1/4, 6x/4x-1 ≤ 1/2

Q4. Solve graphically: - (i) 3x + 4y ≥ 12, y ≥ 1, x ≥ 0 (ii) x – 2y ≥ 0, 2x – y ≤ -2, x ≥ 0, y ≥ 0
(iii) 2x+y ≤ 24, x + y ≤ 11, 2x + 5y ≤ 40, x ≥ 0, y ≥ 0

Q5. In first four papers each of 100 marks, Rohit got 72, 83, 73, 95 marks. If he wants an average of greater than or equal to 75 marks and less than 80 marks, find the range of marks he should score in the fifth paper.

Q6. The sum of two natural numbers is 121. If the sum of bigger number and four times the smaller is equal to or greater than 271, find all possible values of the smaller number.

Q7. Given P = {x : 5 ≤ 2x – 1 ≤ 11, x €R} and Q = { x : -1 ≤ 3 + 4x ≤ 23, x €E, x €I} Where R = real numbers and I = integers. Represent P and Q on two different number lines. Write down the elements of P &Q.

Q8. The cost and revenue functions of a product are given by C (x) = 2x + 400 and R(x) = 6x+20 respectively, where x is the number of items produced by the manufacturer. How many items must the manufacturer sell to realize some profit?

Q9. Solve :- - 4x ≥ 30 when (i) x €R (ii) x €Z (iii) x €N

Q10. Solve : 4x – 2 ≤ 8, when :- (i) x €R, (ii) x € Z (iii) x €N

Q11. How many litres of water will have to be added to 1250 litres of 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?

Q.1 Solve the inequality and show the graph of the solution on number line: 3(1 – x) < 2 (x + 4).

Q.2 IQ of a person is given by the formula iQ = MA/CA x 100
Where MA is mental age and CA is chronological age. If 80 ≤ IQ ≤ 140 for a group of 12 years old children, find the range of their mental age.

Q.3 In a game, a person wins if he gets the sum greater than 20 in four throws of a die. In three throws he got numbers 6, 5, 4. What should be his forth throw, so that he wins the game.

Q.4 Solve the inequality - 3 ≤ 4 - 7x/2 ≤ 18

Q.5 A solution is to be kept between 68°F and 77°F. What is the range in temperature in degree Celsius (C) if the Celsius/Fahrenheit (F) conversion formula is given by f = 9/8 C + 32?

Q.6 Solve 7x + 9 30.

Q.7 Solve the inequality 7 ≤ (3x+11)/2 ≤ 11

Q.8 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?

Q.9 Solve 4x + 3 < 6x + 7.

Q.10 Solve 7x + 3 < 5x + 9. Show the graph of the solutions on number line.

Q.11 Solve the system of inequalities : 3x - 7 < 5+x 11 - 5x ≤ 1 and represent the solution on the number line.

Q.12 Solve the following system of inequalities graphically: x + y ≥ 4, 2x – y > 0.

Q.13 Solve the following system of inequalities graphically: x + 2y ≤ 10, x + y ≥ 1, x – y ≤ 0, x ≥ 0, y ≥ 0.

Q.14 Solve the following system of inequalities graphically: 2x – y > 1, x – 2y < –1.

Q.15 To receive Grade ‘A’ in a course, one must obtain an average of 90 marks or more in five examinations (each of 100 marks). If Sunita’s marks in first four examinations are 87, 92, 94 and 95, find minimum marks that Sunita must obtain in fifth examination to get grade ‘A’ in the course.

Q.16 A shopkeeper sells a product at a price four times more than its actual price. Find the actual price such that the shopkeeper gets a benefit of at least Rs 40.

Q.17 The longest side of the rectangle is five times the shortest side. If the perimeter of the rectangle is atleast 120 cm. Find the minimum value of shortest side.

Q.18 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?

Q.19 Solve the following system of inequalities graphically: 4x + 3y ≤ 60, y ≥ 2x, x ≥ 3, x, y ≥ 0.

Q.20 Solve the inequalities and represent the solution graphically on number line: 5x + 1 > –24, 5x – 1 < 24.

More Study Material

CBSE Class 11 Mathematics Chapter 6 Linear Inequalities Worksheet

We hope students liked the above worksheet for Chapter 6 Linear Inequalities designed as per the latest syllabus for Class 11 Mathematics released by CBSE. Students of Class 11 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 11 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Studiestoday is the best portal for Class 11 students to get all the latest study material free of cost.

Worksheet for Mathematics CBSE Class 11 Chapter 6 Linear Inequalities

Expert teachers of studiestoday have referred to the NCERT book for Class 11 Mathematics to develop the Mathematics Class 11 worksheet. If you download the practice worksheet for one chapter daily, you will get higher and better marks in Class 11 exams this year as you will have stronger concepts. Daily questions practice of Mathematics worksheet and its study material will help students to have a stronger understanding of all concepts and also make them experts on all scoring topics. You can easily download and save all revision worksheet for Class 11 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 11 Mathematics designed by our teachers

Chapter 6 Linear Inequalities worksheet Mathematics CBSE Class 11

All worksheets given above for Class 11 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 11 can be rest assured that the answers have been also provided by our teachers for all worksheet of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 11 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 11 Mathematics students have been given on studiestoday.

Chapter 6 Linear Inequalities CBSE Class 11 Mathematics Worksheet

Regular worksheet practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 6 Linear Inequalities concepts. Worksheets play an important role in developing an understanding of Chapter 6 Linear Inequalities in CBSE Class 11. Students can download and save or print all the worksheets, printable assignments, and practice sheets of the above chapter in Class 11 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 11 Mathematics MCQ Test for the same chapter.

Worksheet for CBSE Mathematics Class 11 Chapter 6 Linear Inequalities

CBSE Class 11 Mathematics best textbooks have been used for writing the problems given in the above worksheet. If you have tests coming up then you should revise all concepts relating to Chapter 6 Linear Inequalities and then take out a print of the above worksheet and attempt all problems. We have also provided a lot of other Worksheets for Class 11 Mathematics which you can use to further make yourself better in Mathematics

Where can I download latest CBSE Printable worksheets for Class 11 Mathematics Chapter 6 Linear Inequalities

You can download the CBSE Printable worksheets for Class 11 Mathematics Chapter 6 Linear Inequalities for latest session from StudiesToday.com

Can I download the Printable worksheets of Chapter 6 Linear Inequalities Class 11 Mathematics in Pdf

Yes, you can click on the links above and download Printable worksheets in PDFs for Chapter 6 Linear Inequalities Class 11 for Mathematics

Are the Class 11 Mathematics Chapter 6 Linear Inequalities Printable worksheets available for the latest session

Yes, the Printable worksheets issued for Class 11 Mathematics Chapter 6 Linear Inequalities have been made available here for latest academic session

How can I download the Class 11 Mathematics Chapter 6 Linear Inequalities Printable worksheets

You can easily access the links above and download the Class 11 Printable worksheets Mathematics Chapter 6 Linear Inequalities for each chapter

Is there any charge for the Printable worksheets for Class 11 Mathematics Chapter 6 Linear Inequalities

There is no charge for the Printable worksheets for Class 11 CBSE Mathematics Chapter 6 Linear Inequalities you can download everything free

How can I improve my scores by solving questions given in Printable worksheets in Class 11 Mathematics Chapter 6 Linear Inequalities

Regular revision of practice worksheets given on studiestoday for Class 11 subject Mathematics Chapter 6 Linear Inequalities can help you to score better marks in exams

Are there any websites that offer free test sheets for Class 11 Mathematics Chapter 6 Linear Inequalities

Yes, studiestoday.com provides all latest NCERT Chapter 6 Linear Inequalities Class 11 Mathematics test sheets with answers based on the latest books for the current academic session

Can test papers for Class 11 Mathematics Chapter 6 Linear Inequalities be accessed on mobile devices

Yes, studiestoday provides worksheets in Pdf for Chapter 6 Linear Inequalities Class 11 Mathematics in mobile-friendly format and can be accessed on smartphones and tablets.

Are worksheets for Chapter 6 Linear Inequalities Class 11 Mathematics available in multiple languages

Yes, worksheets for Chapter 6 Linear Inequalities Class 11 Mathematics are available in multiple languages, including English, Hindi