## Inequality (mathematics)

### Properties of Inequality

When solving inequalities using chained notation, it is possible and sometimes necessary to evaluate the terms independently. Solving a Linear Equation An equation is a statement in which two expressions are equal. Note especially that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality.

They are closely related to the properties of equality , but there are important differences.

All rights reserved. Occasionally, chained notation is used with inequalities in different directions, in which case the meaning is the logical conjunction of the inequalities between adjacent terms.

So equality on R is an equivalence relation. Copy to clipboard. Transitive Property of Inequality. Varsity Tutors does not have affiliation with universities mentioned on its website. Found a content error? Inequalities are important because they are common to everyday life experiences. So let's check all the axioms for an equivalence relation. Ken Ken 3, 5 17 Download presentation. But a new law says "all your money is now a debt you must repay with hard work".

Alex has less coins than Billy. Alex Federspiel. I am at least 16 years of age. Homepage Basic Mathematics blog Free math problems solver! Systems of inequalities can be written in terms of matrices A , B , C , etc. Published by Solomon Egbert Quinn Modified over 3 years ago. Presentation is loading. And vice-versa. Inequalities Elementary algebra. We can swap a and b over, if we make sure the symbol still "points at" the smaller value.

Ask Question. The rules for additive and multiplicative inverses are both examples of applying a strictly monotonically decreasing function. Graph the solution. Some inequalities are used so often that they have names:. See also: