Q. 35.0( 1 Vote )

# Solve each of the following system of inequations in Rx – 2 > 0, 3x < 18

Given x – 2 > 0 and 3x < 18

Let us consider the first inequality.

x – 2 < 0

x – 2 + 2 < 0 + 2

x < 2

x ( 2, ∞) (1)

Now, let us consider the second inequality.

3x < 18 x < 6

x (–∞, 6) (2)

From (1) and (2), we get

x (2, ∞) (–∞, 6)

x ( 2, 6)

Thus, the solution of the given system of inequations is (2, 6).

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 