Answer :

Let's analyze and interpret the given inequalities step by step.

Given conditions:
1. \( y \geq 3x + 3 \)
2. \( y \leq 2x + 10 \)
3. \( y > y \)

Let's break this down:

1. \( y \geq 3x + 3 \):

This condition suggests that \( y \) is at least \( 3x + 3 \).

2. \( y \leq 2x + 10 \):

This condition indicates that \( y \) is at most \( 2x + 10 \).

3. \( y > y \):

This condition suggests that \( y \) must be greater than \( y \), which is a contradiction.

This is because a variable cannot be greater than itself. Since \( y > y \) cannot be satisfied under any circumstances, it invalidates all possible values of \( x \) and \( y \).

Thus, considering the conditions provided, no values of \( x \) can satisfy all three inequalities simultaneously.

Therefore, the interval for \( x \) in this case is:

[tex]\[ \text{No solution as the inequality } y > y \text{ cannot be satisfied.} \][/tex]