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1. The set of integers includes all whole numbers, their negatives and zero.
Integers = {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...}
½, therefore, is not an integer.

2.

The "..." preceding -5 means 'and so on'. So the list of numbers does not stop at -5, but continues indefinitely towards the left.

Whole numbers cannot be negative, so the first is incorrect.
Negative integers do not include 0, so second is incorrect.
Non-positive means negative or zero, so third is correct.
Non-negative means positive or zero, so fourth is incorrect