To solve the given problem, let's break it down step-by-step.

Given:

• $A = \{2, 5\}$
• $B = \{3, 4, 7\}$
• $C = \{3, 4, 8\}$

We need to evaluate:

$(A - B) \times C = (A \times C) - (B - C)$

where:

• $A - B$ is the difference between sets $A$ and $B$
• $A \times C$ is the Cartesian product of sets $A$ and $C$

Let's proceed step-by-step:

1. Calculate $A - B$:

$A - B = \{x \in A \mid x \notin B\}$

Since $A = \{2, 5\}$ and $B = \{3, 4, 7\}$:

$A - B = \{2, 5\}$

2. Calculate $(A - B) \times C$:

This is the Cartesian product of $A - B$ and $C$:

[ (A - B) \times C = {