NCERT MOST IMPORTANT QUESTIONS CLASS – 11 | MATHS IMPORTANT QUESTIONS | CHAPTER – 6 | LINEAR INEQUALITIES | EDUGROWN

In This Post we are providing Chapter-6 LINEAR INEQUALITIES NCERT MOST IMPORTANT QUESTIONS for Class 11 MATHS which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MOST IMPORTANT QUESTIONS ON LINEAR INEQUALITIES

1. Solve the inequality

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2. Solve the inequality

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3. Solution set of the in inequations and is.

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4. Solve. Show the graph of the solution on number line.

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5. Solve the inequality.

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6. Solve when is an integer.

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7. Ravi obtained 70 and 75 mark in first unit test. Find the minimum marks he should get in the third test to have an average of at least 60 marks.

Ans. Let Ravi secure marks in third test

ATQ

8. Find all pairs of consecutive odd natural no. both of which are larger than 10 such that their sum is less than 40.

Ans. Let and be consecutive odd natural no.

ATQ

From (i) and (ii)

9. A company manufactures cassettes and its cost equation for a week is C=300+1.5and its revenue equation is R=2, where is the no. of cassettes sold in a week. How many cassettes must be sold by the company to get some profit?

Ans. Profit = revenue-cost

10. The longest side of a is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the is at least 61 cm find the minimum length of the shortest side.

Ans. Let shortest side be cm then the longest side is cm and the third side cm.

ATQ

Length of shortest side is 9 cm.

11. In drilling world’s deepest hole it was found that the temperature T in degree Celsius, km below the surface of earth was given by At what depth will the tempt. Be between c and

Ans. Let km is the depth where the tempt lies between and

12. A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm longer than the shortest and the third length is to be twice as long as the shortest. What are the possible lengths of the shortest board if the third piece is to be at least 5 cm longer than the second.

Ans. Let the shortest length be cm, then second length is (+3) cm and the third length is 2 cm.

ATQ

Again ATQ

13. The water acidity in a pool is considered normal when the average pH reading of three daily measurements is between 7.2 and 7.8 If the first pH reading are 7.48 and7.85, find the range of pH value for the third reading that will result in the acidity level being normal.

Ans. Let third reading be then