please use strong induction to prove it

and be extra clear with the steps

2. Let X be the set of all natural numbers a with the property that r 4a + 13b for some natural numbers a and b. For example, 30 X since 30-4(1) + 13(2), but 5 X dd 4's and 13's together to reach 5. (It's not a multiple of 4, and adding 13 goes over.) Use strong induction to prove that n X for all integers n 36. Hint: it should be easy to show that k + 1 E X if k-3 X. You may need multiple base cases for this problem. since there's no wav to a