
Q1 Solve 24x < 100, when (i) x is a natural number. (ii) x is an integer. Ans: Our experts will give the answer soon.
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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Q1  Solve 24x < 100, when (i) x is a natural number. (ii) x is an integer. 
Ans:  Our experts will give the answer soon. 
Find the sum of integers from 1 to 100 that are divisible by 2 or 5.
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
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How many terms of G.P. 3, 3^{2}, 3^{3}, … are needed to give the sum 120?
Find the sum of all numbers between 200 and 400 which are divisible by 7.
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.
Show that the sum of (m + n)th and (m – n)th terms of an A.P. is equal to twice the mth term.
Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”. C denote the event “three tails show” and D denote the event ‘a head shows on the first coin”. Which events are
(i) mutually exclusive? (ii) simple? (iii) compound?
Find the equation of the circle with centre (0, 2) and radius 2
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Name the octants in which the following points lie:
(1, 2, 3), (4, –2, 3), (4, –2, –5), (4, 2, –5), (–4, 2, –5), (–4, 2, 5), (–3, –1, 6), (2, –4, –7)
A point is in the XZplane. What can you say about its ycoordinate?
Show that the ratio of the sum of first n terms of a G.P. to the sum of terms from
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.
If the first and the nth term of a G.P. are a ad b, respectively, and if P is the product of n terms, prove that P^{2} = (ab)^{n}.