Question

What value of x is in the solution set of 2x – 3 > 11 – 5x?

–3

0

2

4

please help I cant figure out the answer

Answer 1

`2x - 3 \ \textgreater \ 11- 5x\\ 7x\ \textgreater \ 14\\ x\ \textgreater \ 2`

4

Answer 2

Option D is correct.

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

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