Integers satisfy the inequality, Mathematics

Assignment Help:

How many integers satisfy the inequality |10(x+1)/x^2+2x+3|=1?

Solution) first thing thats not an inequality,
and second thing its very easy if thats the question.
the LHS = |10/x^2 + 10/x + 2x + 3| = 1
10/x^2 will also be an integer only if x^2<10.....i.e. x<3.
hence x= 0,+1,-1,+2,-2,+3,-3.
but the only value that holds the equality is -1.
hence the no. of INTEGERS is only 1.


Related Discussions:- Integers satisfy the inequality

Evaluate negative infinity, Evaluate both of the following limits. ...

Evaluate both of the following limits. Solution : Firstly, the only difference among these two is that one is going to +ve infinity and the other is going to negative inf

Concepts of sampling error, Use the concepts of sampling error and z- scor...

Use the concepts of sampling error and z- scores to explain the concept of distribution of sample means.

Horizontal tangents for parametric equations, Horizontal tangents for Param...

Horizontal tangents for Parametric Equations Horizontal tangents will take place where the derivative is zero and meaning of this is that we'll get horizontal tangent at value

Potency of a drug , An experiment designed to test the potency of a drug on...

An experiment designed to test the potency of a drug on 20 rats. Last animal studies have shown that a 10 mg dose of the drug is lethal 5% of the time within the first 4 hours; of

Replacement problems, how we will use the replacement problmes in our life?...

how we will use the replacement problmes in our life?

What are factor trees explain, What are Factor Trees explain? In algebr...

What are Factor Trees explain? In algebra, we often need to factor a number into its prime factors. One way to do this is to use a factor tree. This is a network of numbers, st

Marketig research report , need help to write Marketing research reprot abo...

need help to write Marketing research reprot about IBM company using spss (statistical program) to analys the given data about the company and write the report according to given i

Calculate the volume and surface area of a sphere, Calculate the volume and...

Calculate the volume and surface area of a sphere: Calculate the volume and surface area of a sphere with r = 4".  Be sure to include units in your answer. Solution: V

Rectilinear figure, In a parallelogram ABCD AB=20cm and AD=12cm.The bisecto...

In a parallelogram ABCD AB=20cm and AD=12cm.The bisector of angle A meets DC at E and BC produced at F.Find the length of CF.

Example of communicating the meaning of addition, Ms. Mehta teaches in a go...

Ms. Mehta teaches in a government primary school in Delhi. The children who come to her in Class 1 are familiar with a few numbers. At the beginning of the session, she asks the ch

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd