Step-by-step explanation:
Inequality to describe problem:
[tex] - 6 < x < 21[/tex]
x represents the unknown integer(s).
Integers are positive or negative numbers that don't have a fraction, or a decimal.
Positive integers that work in the inequality:
[tex] - 6 < 1< 21[/tex]
[tex] - 6 < 2 < 21[/tex]
[tex] - 6 < 3 < 21[/tex]
[tex] - 6 < 4 < 21[/tex]
[tex] - 6 < 5 < 21[/tex]
[tex] - 6 < 6 < 21[/tex]
[tex] - 6 < 7 < 21[/tex]
[tex] - 6 < 8 < 21[/tex]
[tex] - 6 < 9 < 21[/tex]
[tex] - 6 < 10< 21[/tex]
[tex] - 6 < 11 < 21[/tex]
[tex] - 6 < 12 < 21[/tex]
[tex] - 6 < 13 < 21[/tex]
[tex] - 6 < 14 < 21[/tex]
[tex] - 6 < 15 < 21[/tex]
[tex] - 6 < 16 < 21[/tex]
[tex] - 6 < 17 < 21[/tex]
[tex] - 6 < 18 < 21[/tex]
[tex] - 6 < 19 < 21[/tex]
[tex] - 6 < 20 < 21[/tex]
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.
