- published: 16 Jul 2014
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In mathematics, an inequality is a relation that holds between two values when they are different (see also: equality).
It does not say that one is greater than the other, or even that they can be compared in size.
If the values in question are elements of an ordered set, such as the integers or the real numbers, they can be compared in size.
In either case, a is not equal to b. These relations are known as strict inequalities. The notation a < b may also be read as "a is strictly less than b".
In contrast to strict inequalities, there are two types of inequality relations that are not strict:
An additional use of the notation is to show that one quantity is much greater than another, normally by several orders of magnitude.
Inequalities are governed by the following properties. Note that, for the transitivity, converse, addition and subtraction, and multiplication and division properties, the property also holds if strict inequality signs (< and >) are replaced with their corresponding non-strict inequality sign (≤ and ≥).
Point of Grace is an all-female Contemporary Christian music group. The trio consists of Shelley Breen, Denise Jones, and Leigh Cappillino. The group started out as a quartet in 1991, with original members Breen and Jones, as well as Terry Jones and Heather Payne. In November 2003, Terry Jones decided she needed to spend more time with her family after giving birth to her third child, and left the group, with Cappillino joining in March 2004 for their 2004 release I Choose You. In June 2008, Payne announced her retirement from the group, in order to spend more time with her husband and four children.
The group's debut self-titled album was released in 1993; since then, they have been recognized as one of the top Contemporary Christian music bands in the United States. In 2003, they released their ninth album, 24 - a compilation of 24 previous hits.