Q. 65.0( 2 Votes )

Solve each of the following system of inequations in R

2x – 3 < 7, 2x > –4

Answer :

Given 2x – 3 < 7 and 2x > –4


Let us consider the first inequality.


2x – 3 < 7


2x – 3 + 3 < 7 + 3


2x < 10



x < 5


x ( –∞, 5) (1)


Now, let us consider the second inequality.


2x > –4



x > –2


x (–2, ∞) (2)


From (1) and (2), we get


x (–∞, 5) (–2, ∞)


x (–2, 5)


Thus, the solution of the given system of inequations is (–2, 5).


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on Equations & inequations63 mins
Discussion | Miscellaneous Exercise | NCERT Chapter 6| Linear Inequalities33 mins
Concept of Linear momentum and its conservation40 mins
Check your understanding of linear momentum22 mins
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
view all courses