Intervals which extend indefinitely in both the directions are known as unbounded intervals. These are written with the aid of symbols +∞  and -  ∞  . The various types of intervals, if  "a" happens to be a real number, are:

1. (a, +  ∞  is the set of all real numbers x such that a < x.

2. (-  ∞  a) is the set of all real numbers x such that x < a.

3. [a, +  ∞  is the set of all real numbers x such that a ≤ x.

4. (-  ∞  , a] is the set of all real numbers x such that x ≤ a.

Posted Date: 9/13/2012 2:15:50 AM | Location : United States

Ask an Expert

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

Write discussion on Unbounded intervals
Your posts are moderated

Write your message here..

Related Questions

In an election contested between a and b determine vote, In an election con... In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi

Finds out the center and radius of circle, Finds out the center & radius of... Finds out the center & radius of each of the following circles & sketch the graph of the circle. a) x 2 + y 2 = 1 b) x 2 + ( y - 3) 2  = 4 Solution In all of these

Permatuation and combination problem, A,B,C are natural numbers and are in ... A,B,C are natural numbers and are in arithmetic progressions and a+b+c=21.then find the possible values for a,b,c Solution) a+b+c=21 a+c=2b 3b=21 b=7 a can be 1,2,3,4,5,6 c c

Determine how many poles are there in the stack, 1. A stack of poles has 22... 1. A stack of poles has 22 poles in the bottom row, 21 poles in the next row, and so on, with 6 poles in the top row. How many poles are there in the stack? 2. In the formula N

Lesson 6 Homework Practice, For every girl taking classes at the martial ar... For every girl taking classes at the martial arts school there are 3 boys who are taking classes at the school. If there are 236 students taking classes write and solve a proportio

Size of the penumbra, With reference to Fig. 1(a) show that the magnificati... With reference to Fig. 1(a) show that the magnification of an object is given by M=SID/SOD. With reference to Fig. 1(b) show that the size of the penumbra (blur) f is given by f

Integration and differentiation, Integration and Differentiation Diffe... Integration and Differentiation Differentiation deals along with the determination of the rates of change of business activities or merely the process of finding the derivativ

Line of symmetry, how do I do it. how do I do it.

Calculate subsequent proportion, Calculate subsequent proportion: A re... Calculate subsequent proportion: A recipe calls for 1(1/2) cups of flour to make servings for 6 people.  How much flour should be used to make servings for 4 people? Solut

Define a*b for given matrix, Define A*B where:                A =  | 3 -... Define A*B where:                A =  | 3 -3  6 |          B = |  6   1 |                          | 0  4  2 |              |  0  -5 |