Verified Answer :

\(2x - 3 \ \textgreater \ 11- 5x\\ 7x\ \textgreater \ 14\\ x\ \textgreater \ 2\)

4

Answer:

Option D is correct.

Value of x is in the solution set of given equation is., 4

Step-by-step explanation:

Given that: \(2x -3 > 11-5x\)                  .....[1]

Find the value of x is in the solution set;

Add 5x to both sides of equation [1];

\(2x -3 +5x > 11-5x+5x\)        

Simplify:

\(7x -3> 11\)

Add 3 to both sides we get;

\(7x > 14\)

Divide both sides by 7 we get;

x > 2.

Then, we have the  solution set for x is: \((2, \infty)\)

Therefore, the value of x is in the solution set is, 4