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

Hcf, the length of three pieces of ropes are 140cm,150cm and 200cm.what is ...

the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?

Geometry , solve for x and y 2x+3y=12 and 30x+11y=112

solve for x and y 2x+3y=12 and 30x+11y=112

Find the sides of the two squares, The sum of areas of two squares is 468m ...

The sum of areas of two squares is 468m 2  If the difference of their perimeters is 24cm, find the sides of the two squares. Ans:    Let the side of the larger square be x .

How many miles required to be driven for both services cost, Easy Rider tax...

Easy Rider taxi service charges a pick-up fee of $2 and $1.25 for each mile. Luxury Limo taxi service charges a pick-up fee of $3.25 and $1 per mile. How many miles required to be

Addition, #questiowhat is 1+1n..

#questiowhat is 1+1n..

Type i and type ii errors-rejection and acceptance regions, Type I and type...

Type I and type II errors When testing hypothesis (H 0 ) and deciding to either reject or accept a null hypothesis, there are four possible happenings. a) Acceptance of a t

base - 10 block math, there are 5 small cubes and it reads the 5 small cub...

there are 5 small cubes and it reads the 5 small cubes is 1/100, then what is the ONE?

Solve the form x2 + bx - c, Solve the form x 2 + bx - c ? This tutori...

Solve the form x 2 + bx - c ? This tutorial will help you factor quadratics that look something like this: x 2 + 11x - 12 (No lead coefficient; positive middle coeffic

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