-
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
Download pdf of NCERT Examplar with Solutions for Class Mathematics Chapter 6 Linear Inequalities
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.
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
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.
How many terms of G.P. 3, 32, 33, … 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.
Which term of the following sequences:
If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers.
Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.
If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are .
The difference between any two consecutive interior angles of a polygon is 5°. If the smallest angle is 120°, find the number of the sides of the polygon.
A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?
Find the sum to n terms in the geometric progression 1,-a, a2,-a3, ... (if a ≠ -1)
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
A die is thrown. Describe the following events:
(i) A: a number less than 7 (ii) B: a number greater than 7 (iii) C: a multiple of 3
(iv) D: a number less than 4 (v) E: an even number greater than 4 (vi) F: a number not less than 3
Also find A ∪ B, A ∩ B, B ∪ C, E ∩ F, D ∩ E, A – C, D – E, E ∩ F’, F’
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)