A number increased by 15 is greater than 124. find the smallest integer that satisfies the inequality,

This description translated into an inequality is

x + 15 > 124

x > 109

X is greater than 109

This means that the smallest integer that satisfies this inequality is 110 because X cannot be 109 or less; it is greater than 109.

We did not say 109.1 or 109.2 or 109.99 because it is asking for an integer, which cannot be a decimal.

Answer is 110