To set up the inequality for Deacon's DVD order, we need to account for both the cost of the DVDs and the shipping and handling fee.
Let \( x \) be the number of DVDs he wants to order. The cost of \( x \) DVDs at $12.95 each is \( 12.95x \). Additionally, he has to pay a shipping and handling fee of $4.95 for the entire order. Therefore, the total cost can be represented as:
\[ 12.95x + 4.95 \]
Deacon must spend no more than $75, so we write the inequality as:
\[ 12.95x + 4.95 \leq 75 \]
Thus, the correct inequality that matches the situation is:
\[ 12.95x + 4.95 \leq 75 \]