A package is never accepted for delivery by the delivery service unles...
Statement 1: A package is never accepted for delivery by the delivery service unless it is within the established size limits.
This statement tells us that for a package to be accepted for delivery, it must meet the size limits set by the delivery service.
Statement 2: All packages accepted for delivery by the delivery service have a return address.
This statement tells us that every package accepted for delivery by the delivery service must have a return address.
Now let's examine each option:
(A) The delivery service charges more for heavier packages than for lighter packages.
There is no information given in the statements regarding the delivery service's charging policy based on package weight. We cannot determine if this statement is true or false based on the given information.
(B) The delivery service will always accept for delivery a package that is within the established size limits.
This statement directly contradicts the first statement, which says that a package must meet the established size limits to be accepted for delivery. Therefore, this statement is false.
(C) If a package is within the established size limits and has a return address, it will be accepted for delivery by the delivery service no matter how heavy the package is.
This statement combines the conditions of both statements given. It correctly combines the requirement of size limits and having a return address for a package to be accepted for delivery. However, it does not provide any information about the weight of the package. Without any information about weight, we cannot conclude that this statement is true. It may or may not be true.
(D) A package that is not within the established size limits but has a return address is never accepted for delivery by the delivery service.
This statement aligns with the first statement, which states that a package must be within the established size limits to be accepted for delivery. It also aligns with the second statement, which states that all packages accepted for delivery must have a return address. Therefore, based on the given information, this statement must be true.
(E) The delivery service does not charge for packages that must be returned to the sender.
There is no information given in the statements about the delivery service's charging policy for packages that need to be returned to the sender. We cannot determine if this statement is true or false based on the given information.
In summary, based on the given information, the only statement that must be true is (D): A package that is not within the established size limits but has a return address is never accepted for delivery by the delivery service.