(2/w)+3>29/w, now subtract 2/w from each side:
3>(29-2)/w, (because 2/w and 29/w have the same denominator)
3>27/w, now divide both sides by 27:
3/27>1/w,
1/9>1/w,
Multiply both sides by w (assumed to be positive):
w/9>1,
Multiply both sides by 9:
w>9. The assumption was valid because all numbers greater than 9 are positive.
CHECK
Substitute w=10 (which is greater than 9):
2/10+3=3⅕ or 16/5 or 3.2
29/10=2.9.
3.2 is greater than 2.9, so the original inequality is satisfied.
But we would expect the original inequality not to be satisfied if we put w=9:
2/9+3=29/9, which is the same as the right-hand side. 29/9 is not greater than 29/9 so the inequality is not satisfied (as expected).
It's always a good idea to check in case you made a mistake.