Q. 14.3( 110 Votes )

Solve 24x < 100, when:

(i) x is a natural number.

(ii) x is an integer.

Answer :

It is given in the question that,

24x < 100


Dividing the inequality by 24 on both sides we get,



(i) When x is a natural integer.


It can be clearly observed that the only natural number less than are 1, 2, 3, 4


Thus, 1, 2, 3, 4 will be the solution of the given inequality when x is a natural number.


Here, {1, 2, 3, 4} is the solution set.


(ii) When x is an integer


It can be clearly observed that the integer number less thanare…, -1, 0, 1, 2, 3, 4.


Thus, solution of 24x<100 are…,-1, 0, 1, 2, 3, 4, when x is an integer.


{…, -1, 0, 1, 2, 3, 4} is the solution set.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Discussion | Miscellaneous Exercise | NCERT Chapter 6| Linear InequalitiesDiscussion | Miscellaneous Exercise | NCERT Chapter 6| Linear InequalitiesDiscussion | Miscellaneous Exercise | NCERT Chapter 6| Linear Inequalities33 mins
Interactive Quiz on Equations & inequationsInteractive Quiz on Equations & inequationsInteractive Quiz on Equations & inequations63 mins
Let's Play the Game of InequalitiesLet's Play the Game of InequalitiesLet's Play the Game of Inequalities52 mins
Lecture on inequalities involving AM & GMLecture on inequalities involving AM & GMLecture on inequalities involving AM & GM56 mins
Concept of Linear momentum and its conservationConcept of Linear momentum and its conservationConcept of Linear momentum and its conservation40 mins
Miscellaneous Interactive Quiz on Trigonometry+ Complex number+InequalitiesMiscellaneous Interactive Quiz on Trigonometry+ Complex number+InequalitiesMiscellaneous Interactive Quiz on Trigonometry+ Complex number+Inequalities43 mins
Check your understanding of linear momentumCheck your understanding of linear momentumCheck your understanding of linear momentum22 mins
Interactive quiz on inequalities involving AM and GMInteractive quiz on inequalities involving AM and GMInteractive quiz on inequalities involving AM and GM45 mins
Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)Conservation of Linear Momentum, Visualize the concept (Theory + Interactive Quiz)41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses