Final answer:
The correct inequality representing the weight range for a child between 16lb and 35lb, inclusive of both endpoints, is 16lb ≤ x ≤ 35lb.
Step-by-step explanation:
The weight range for a child between 16lb and 35lb can be represented by the inequality 16lb ≤ x ≤ 35lb. This means that the weight of the child will be greater than or equal to 16 pounds and less than or equal to 35 pounds. The inequality that represents the weight range for a child between 16lb and 35lb, where the weight can be both 16lb and 35lb, is 16lb ≤ x ≤ 35lb. This means that x, representing the child's weight, can be equal to 16lb, equal to 35lb, or anywhere in between. Therefore, the correct inequality that encompasses this entire range including the endpoints is option A.