PLEASE EXPLAIN STEP BY STEP HOW TO DO THIS PROBLEM AND HOW TO DO STRONG INDUCTION. I REALLY NEED TO UNDERSTAND THE CONCEPT

Let X be the set of all natural numbers x with the property that x = 4a + 13b for some natural numbers a and b. For example, 30 X since 30 = 4(1) + 13(2), but 5 X since theres no way to add 4s and 13s together to reach 5. (Its 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 X if k 3 X. You may need multiple base cases for this problem.