Question

Is x > y a linear inequality

Answer 1

Yes, the expression \( x > y \) can be considered a linear inequality. A linear inequality is an inequality that can be expressed in the form \( ax + by < c \), \( ax + by \leq c \), \( ax + by > c \), or \( ax + by \geq c \), where \( a \), \( b \), and \( c \) are real numbers.

In the case of \( x > y \), you can rearrange it to \( x - y > 0 \). This fits the form of a linear inequality, where \( a = 1 \), \( b = -1 \), and \( c = 0 \). Thus, \( x > y \) is indeed a linear inequality.