Every positive integer is larger than every negative integer.
Step 1: Positive integers are numbers like 1, 2, 3, … They are to the right of 0 on the number line.
Step 2: Negative integers are numbers like −1, −2, −3, … They are to the left of 0 on the number line.
Step 3: On a number line: numbers to the right are greater than numbers to the left.
Step 4: Take any positive number (p). Then
(p > 0).
Step 5: Take any negative number (n). Then
(n < 0).
Step 6: Compare (p) and (n) using differences:
(p - n = p + (-n)).
Since (n < 0), we have (-n > 0).
So (p + (-n) > p ge 0).
Therefore (p - n > 0), which means (p > n).
Conclusion: Every positive integer is larger than every negative integer.