This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Here are the solutions to the mathematics questions:
4. If is a positive integer, find all possible values of given that . (3 marks)
Step 1: Interpret the inequality. The notation is typically used to mean "1 is much less than X". However, in the context of finding integer values for , it is most commonly interpreted as . So, we are looking for positive integers such that .
Step 2: List the integers that satisfy the condition. The integers strictly greater than 1 are $2, 3, 4, 5, 6, 7
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4. If X is a positive integer, find all possible values of X given that 1 X < 7.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.