Definition:Inequality/Opposite Sense

Definition

Two inequalities are of opposite sense if and only if the direction of the ordering which the inequality is different.

That is, whether it is:

a greater than relation: $a > b$

or:

a less than relation: $a < b$

These two are of opposite sense.

Also see

• Results about inequalities can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inequality
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inequality: 2.