import math


def include_integer(low, high):
    """Check if the range [low, high) includes integer."""
    def _in_range(num, low, high):
        """check if num in [low, high)"""
        return low <= num < high

    if _in_range(math.ceil(low), low, high) or _in_range(math.floor(high), low, high):
        return True
    return False