Question

The solution set of the in equation x +2 > 0 and 2x – 6 > 0 is

Answer 1

Question:

Find the solution set of the given system of inequations ;

x + 2 > 0 and 2x - 6 > 0.

Answer:

x € (3,∞)

Solution:

The given system of inequations is;

x + 2 > 0 and 2x - 6 > 0.

Case(1);

=> x + 2 > 0

=> x > - 2

=> x € (-2,∞)

Case(2);

=> 2x - 6 > 0

=> 2x > 6

=> x > 6/2

=> x > 3

=> x € (3,∞)

Also,

The intersection set of case(1) and case(2) is , x € (3,∞)

The solution set for the given system of inequations will be given as the intersection set of case(1) and case(2).

Thus,

Thus,The solution set of given system of inequations is , x € (3,∞).