Which of the following properties hold for inequalities: reflexive, symmetric, or transitive
Favorites|Homepage
Subscriptions | sitemap
HOME > Mathematics > Which of the following properties hold for inequalities: reflexive, symmetric, or transitive

Which of the following properties hold for inequalities: reflexive, symmetric, or transitive

[From: ] [author: ] [Date: 11-09-22] [Hit: ]
If so, it would be a great help. Will vote best answer.-For all of these cases, we will consider three distinct real numbers a, b,......
Do not understand this problem... Can someone help explain with an answer? If so, it would be a great help. Will vote best answer.

-
For all of these cases, we will consider three distinct real numbers a, b, and c.

For all of these cases, I will assume strict inequalities (just greater than and less than).

the reflexive property means that a > a. This is never true, so the reflexive property does not hold.

the symmetric property states that if a > b then b > a. This is never true, so the symmetric property does not hold.

the transitive property states that if a > b and b > c, then a > c. This property holds for inequalities.

If non-strict inequalities are considered (including greater than or equal to and less than or equal to) then the reflexive property would hold (a >= a always), but the symmetric property would not hold (since I stated a, b, and c were distinct).
1
keywords: of,following,symmetric,transitive,or,inequalities,for,the,reflexive,hold,properties,Which,Which of the following properties hold for inequalities: reflexive, symmetric, or transitive
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .