Inequality Rules

Algebra rules for manipulating inequalities are listed below.

Transitive Property of Inequalities If a < b and b < c , then a < c. If a ≤ b and b ≤ c , then a ≤ c. If a > b and b > c , then a > c. If a ≥ b and b ≥ c , then a ≥ c.

Transitive Property of Inequalities

If a < b and b < c , then a < c. If a ≤ b and b ≤ c , then a ≤ c. If a > b and b > c , then a > c. If a ≥ b and b ≥ c , then a ≥ c.

See also

Equation rules, trichotomy, equivalence properties of equality