(a, +∞) = ⋃∞n=1(a, b +n)

The given statement is expressing an interval in mathematical terms. It is saying that the interval from a to positive infinity is equal to the union of the intervals from a to b + n, for all positive integers n.

Here's a step-by-step breakdown:

1. The interval (a, +∞) represents all numbers greater than a and less than positive infinity.

2. The expression ⋃∞n=1(a, b +n) represents the union of all intervals from a to b + n, where n is a positive integer starting from 1 and going to infinity.

3. The union of these intervals would cover all numbers greater than a and less than each successive b + n.

4. As n approaches infinity, b + n would also approach infinity. Therefore, the union of all these intervals would cover all numbers greater than a and less than positive infinity.

5. Therefore, (a, +∞) = ⋃∞n=1(a, b +n). This means that the interval from a to positive infinity is equal to the union of the intervals from a to b + n, for all positive integers n.