Answer:

The interval of values of x that satisfy the inequality is (-1,2).

Step-by-step explanation:

To solve the inequality 2x+3>5x-3>-8, we can break it down into two separate inequalities:

2x+3>5x-3

5x-3>-8

The first inequality can be solved as follows:

2x+3>5x-3

-3x>-6

x<2

The second inequality can be solved as follows:

5x-3>-8

5x>-5

x>-1

Therefore, the values of x that satisfy both inequalities are the ones that are greater than -1 and less than 2. This is expressed mathematically as follows:

-1 < x < 2

In other words, the interval of values of x that satisfy the inequality is (-1,2).

Answer:

The satisfied value of x is 1.