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

Modi method, why modi method is used in operation research

why modi method is used in operation research

Which kevin gets paid is represented by x what does paid, Patrick gets paid...

Patrick gets paid three dollars less than four times what Kevin gets paid. If the number of dollars which Kevin gets paid is represented through x, what does Patrick get paid?

Example of fractional equations, Example of Fractional Equations: Exa...

Example of Fractional Equations: Example: Solve the fractional equation (3x +8)/x +5 =0 Solution: Multiply both sides of the equation by the LCD (x). (x) ((3x

Simultaneous equations, i need a step by step guide to answering simultaneo...

i need a step by step guide to answering simultaneous equation for gcses

Inverse sine, Inverse Sine : Let's begin with inverse sine.  Following is ...

Inverse Sine : Let's begin with inverse sine.  Following is the definition of the inverse sine. y = sin -1 x         ⇔     sin y = x                for - ?/2 ≤ y ≤ ?/2 Hen

Indices, 4n to the power 3/2 = 8 to the power minus 1/3. find the value of ...

4n to the power 3/2 = 8 to the power minus 1/3. find the value of n.

Definition of the laplace transform, Definition Assume that f(t) is a ...

Definition Assume that f(t) is a piecewise continuous function. The Laplace transform of f(t) is denoted L{ f (t )} and defined by, There is an optional notation for L

Trigonometry, In the riangle ABC the AB=12 cm,AC=28 cm and angle ABC=120 de...

In the riangle ABC the AB=12 cm,AC=28 cm and angle ABC=120 degrees.BC=?

Explain peano''s axioms with suitable example, Question 1 Explain Peano's ...

Question 1 Explain Peano's Axioms with suitable example Question 2 Let A = B = C= R, and let f: A→ B, g: B→ C be defined by f(a) = a+1 and g(b) = b 2 +1. Find a) (f °g

Approximating solutions to equations newtons method, Approximating solution...

Approximating solutions to equations : In this section we will look at a method for approximating solutions to equations. We all know that equations have to be solved on occasion

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