We know from the triangle inequality that the last side, $s$, fulfills $s\textless7+15$. Adding $7+15$ to both sides of the inequality, we get $s+7+15\textless44$, and because $s+7+15$ is the perimeter of our triangle, (D) 44 is our answer. 
What is the smallest whole number larger than the perimeter of any triangle with a side of length $7$ and a side of length $15$? (2015 AMC8, Question 8) 
Options:
[1] $$24$$ 
[2] $$29$$ 
[3] $$43$$ 
[4] $$44$$ 
[5] $$57$$ 