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Q1 Solve 24x < 100, when (i) x is a natural number. (ii) x is an integer. Ans: Our experts will give the answer soon.
Class 11 Mathematics Chapter 6: Linear Inequalities - NCERT Solutions
This page focuses on the complete NCERT solutions for Class 11 Mathematics Chapter 6: Linear Inequalities. This section provides detailed, easy-to-understand solutions for all the questions from this chapter. These Linear Inequalities question answers will offer you valuable insights and explanations.
We are familiar with equations, which we get when a polynomial equates to some constant. But when this equals sign replaced with greater than or less than sign, we get inequalities. Not only in maths, it has some real life applications like how many products should be produced for maximisation of profit and comparison of heights of two persons, etc. This chapter consists of linear inequalities, algebraic solution of linear inequalities in one variable and their representation on number line, Graphical solution of linear inequalities and system of linear inequalities in two variables.
Download pdf of NCERT Solutions for Class Mathematics Chapter 6 Linear Inequalities
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Exercise 1
Key Features of NCERT Class 11 Mathematics Chapter 'Linear Inequalities' question answers :
- All chapter question answers with detailed explanations.
- Simple language for easy comprehension.
- Aligned with the latest NCERT guidelines.
- Perfect for exam preparation and revision.
Popular Questions of Class 11 Mathematics
- Q:-
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
- Q:-
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
- Q:-
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
- Q:-
How many terms of G.P. 3, 32, 33, … are needed to give the sum 120?
- Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
- Q:-
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Recently Viewed Questions of Class 11 Mathematics
- Q:-
For what values of x, the numbers
are in G.P? - Q:-
Find the sum of all numbers between 200 and 400 which are divisible by 7.
- Q:- Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
- Q:-
A point is in the XZ-plane. What can you say about its y-coordinate?
- Q:-
The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.
- Q:-
Find the derivative of x2 – 2 at x = 10.
- Q:- Write the following sets in roster form:
(i) A = {x: x is an integer and - 3 < x < 7}.
(ii) B = {x: x is a natural number less than 6}.
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
(iv) D = {x: x is a prime number which is divisor of 60}.
(v) E = The set of all letters in the word TRIGONOMETRY.
(vi) F = The set of all letters in the word BETTER. - Q:-
Describe the sample space for the indicated experiment: A die is thrown two times.
- Q:-
Which of the following sentences are statements? Give reasons for your answer.
(i) There are 35 days in a month.
(ii) Mathematics is difficult.
(iii) The sum of 5 and 7 is greater than 10.
(iv) The square of a number is an even number.
(v) The sides of a quadrilateral have equal length.
(vi) Answer this question.
(vii) The product of (–1) and 8 is 8.
(viii) The sum of all interior angles of a triangle is 180°.
(ix) Today is a windy day.
(x) All real numbers are complex numbers.
- Q:-
How many 4-letter code can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
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