# Solve each of the following system of inequations in R4x – 1 ≤ 0, 3 – 4x < 0

Given 4x – 1 ≤ 0 and 3 – 4x < 0

Let us consider the first inequality.

4x – 1 ≤ 0

4x – 1 + 1 ≤ 0 + 1

4x ≤ 1

(1)

Now, let us consider the second inequality.

3 – 4x < 0

3 – 4x – 3 < 0 – 3

–4x < –3

(2)

From (1) and (2), we get

x

Thus, there is no solution of the given system of inequations.

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