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

Example of division , Example of division: Divide 738 by 83. Soluti...

Example of division: Divide 738 by 83. Solution: Example: Divide 6409 by 28. Solution: Division could be verified through multiplying

Bits, What is the largest number (in decimal) that can be made with 6 bits?...

What is the largest number (in decimal) that can be made with 6 bits?

Speaking mathematically-how do children learn?, Speaking Mathematically :  ...

Speaking Mathematically :  A Class 2 teacher was explaining the concept of place value to his students, using the number eleven. He started by saying "One and one make eleven." So

Simple harmonic motion, prove that the composition of two simple harmonic o...

prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.

Problem solving, if you start a business and john creates 6 t shirts more t...

if you start a business and john creates 6 t shirts more than pedro and pedro four t shirts less than eva and between the three of then made 22 tshirts, how many t-shirts made each

What is the maximum volume of rectangular box, 1. A rectangular piece of ca...

1. A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the side

Children have their own strategies for learning maths, Children Have Their ...

Children Have Their Own Strategies For Learning Vibhor, aged 7, was once asked if he knew what 'seven lots of eight' are. He said he didn't. He was then asked, "Can you work it

Exponential functions, The exponential functions are useful for descr...

The exponential functions are useful for describing compound interest and growth. The exponential function is defined as:          y = m. a x where '

Decomposing polygons to find area, find the area of this figure in square m...

find the area of this figure in square millimeter measure each segment to the nearest millmeter

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