Final answer:
By setting up an inequality, we determine that the possible number of goals Sam scored is either 0, 1, 2, or 3 goals.
Step-by-step explanation:
The question asks us to determine the possible number of goals Sam scored given that Alex scored 2 less than 3 times what Sam scored and together they scored less than 14 goals. We can set up an inequality to represent this information: 3S - 2 + S < 14, where S is the number of goals Sam scored. Simplifying this inequality gives us 4S - 2 < 14.
By adding 2 to both sides of the inequality, we get 4S < 16. Dividing both sides by 4 gives us S < 4. Since Sam cannot score a fraction of a goal, we conclude that the possible number of goals Sam scored is either 0, 1, 2, or 3 goals.