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s1 = 21 in

s2 = 2s3 - 3 in s2 + s3 > s1

2s3 - 3 + s3 > 21

3s3 - 3 > 21

3s3 > 24

s3 > 8 s2 - s3 < s1

2s3 - 3 - s3 < 21

s3 - 3 < 21

s3 < 24

So that,

8 < s3 < 24, and

2(8) - 3 < s2 < 2(24) - 3

13 < s2 < 45

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Q: If a triangle has one side that is 21 inches and a second side that is 3 inches less than twice the third side what are the possible lengths for the second and third side?
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