If x is positive, is x >3 ?
(x - 1)² > 4, (x - 2)² > 9 

Solution:

Given that x is a positive integer. Let us solve the inequalities in both the cases.

Considering the first case:

(x - 1)² > 4

Squaring on both sides, we get, 

x-1 > ±2

x > 3 or x > -1

x > -1 is neglected as x must be positive

Considering the second case:

(x - 2)² > 9

Squaring on both sides, we get, 

x - 2 > ±3

x > 5 or x > -1

x > -1 is neglected as x must be positive

Thus if x is positive and > 3 in both the cases.

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 If x is positive, is x > 3?
(x - 1)² > 4, (x - 2)² > 9 

Summary:

If x is positive, then x > 3.