The set of ordered pairs (x, y) such that ax+by <c form the region called

Explanation

The set of ordered pairs \((x, y)\) such that \(ax + by < c\) forms a region known as a halfplane. However, this region is not specifically labeled as the "right half plane" or "left half plane" without additional context. Instead, it depends on the signs of \(a\) and \(b\), which determine whether the region is to the left, right, above, or below the boundary line. If \(a > 0\), the halfplane will be above the boundary line. If \(a < 0\), the halfplane will be below the boundary line. If \(b > 0\), the halfplane will be to the right of the boundary line. If \(b < 0\), the halfplane will be to the left of the boundary line.So, without knowing the signs of \(a\) and \(b\), we cannot specifically label the region as the "right half plane" or "left half plane."