Mathematics
Mathematics
Problem
1. Solve , when (i) is a natural number. (ii) is an integer. (i) is a natural number. (ii) is an integer.Intuitive explanation
This is about understanding how the solution set of an inequality changes depending on what numbers you're allowed to use. First, solve the inequality algebraically to find the boundary—that's the same either way. Then the key insight is recognizing which values actually satisfy your constraint: natural numbers are positive whole numbers (1, 2, 3, …), while integers include zero and negatives too. Your answer will be a list of valid values, not just an interval.
Intuitive explanation
This is about understanding how the solution set of an inequality changes depending on what numbers you're allowed to use. First, solve the inequality algebraically to find the boundary—that's the same either way. Then the key insight is recognizing which values actually satisfy your constraint: natural numbers are positive whole numbers (1, 2, 3, …), while integers include zero and negatives too. Your answer will be a list of valid values, not just an interval.