Bounded intervals, Mathematics

  1. Let a and b be fixed real numbers such that a < b on a number line. The different types of intervals we have are

  1. The open interval (a, b): We define an open interval (a, b) with end points a and b as a set of all real numbers "x", such that a < x < b. That is, the real number x will be taking all the values between a and b. An important point to consider in this case is the type of brackets used. Generally open intervals are denoted by ordinary brackets ( ).

  2. The closed interval [a, b]: We define a closed interval [a, b] with end points a and b as a set of all real numbers "x", such that a  ≤  x   ≤   b. In this case the real number x will be taking all the values between a and b inclusive of the end points a and b. Generally closed intervals are denoted by [  ] brackets.

  3. The half open interval [a, b): We define a half open interval [a, b) with end points a and b as a set of all real numbers "x", such that a   ≤   x < b. In this case the real number x will be taking all the values between a and b, inclusive of only a but not b.

  4. The half open interval (a, b]: We define a half open interval (a, b] with end points a and b as a set of all real numbers "x", such that a < x   ≤   b. In this case the real number x will be taking all the values between a and b, inclusive of only b but not a.

Posted Date: 9/13/2012 2:14:23 AM | Location : United States







Related Discussions:- Bounded intervals, Assignment Help, Ask Question on Bounded intervals, Get Answer, Expert's Help, Bounded intervals Discussions

Write discussion on Bounded intervals
Your posts are moderated
Related Questions
A rescue and ?re squad places a 15 ft ladder against a burning building. If the ladder is 9 ft from the base of the building, how far up the building will the ladder reach? a. 8

A train goin from delhi to jaipur stops at 7 intermediate stations. 5 persons enter the train during the journey with 5 difefrent tickets of same class . How mant different set of

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

the area of a triangle is 20 and its base is 16. Find the base of a similar triangle whose area is 45. Given is a regular pentagon. Find the measure of angle LHIK.


The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?

Introduction: "Mathematical literacy is an individual's capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and t

What is Inductive Reasoning ? Sometimes we draw conclusions based on our observations. If we observe the same results again and again, we conclude that the event always has the

Can you help me with what goes into 54

Hypothesis Testing Definition of Hypothesis Testing - A hypothesis is a claim or an opinion about an issue or item.  Hence it has to be tested statistically in order to esta