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

Function of a function, Function of a Function Suppose ...

Function of a Function Suppose y is a function of z,            y = f(z) and z is a function of x,            z = g(x)

MAT201, #There is a balance of $1,234 and this person receive a refund chec...

#There is a balance of $1,234 and this person receive a refund check in the amount of $25 with her paycheck that was deposited into her account for $1500 which made her balance $27

Types of series - telescoping series, Telescoping Series  It's now tim...

Telescoping Series  It's now time to look at the telescoping series.  In this section we are going to look at a series that is termed a telescoping series.  The name in this c

Mean, a data set has a mean of 3, a median of4, and a mode of 5, which numb...

a data set has a mean of 3, a median of4, and a mode of 5, which number must be in the data set 3,4,or5

Solve -10 cos(3t )= 7 on [-2, Solve -10 cos(3t )= 7 on [-2,5]. Solution...

Solve -10 cos(3t )= 7 on [-2,5]. Solution Let's first get the inverse cosine portion of this problem taken care of. cos(3 t )= -  7/10            ⇒     3t = cos -1 ( - 7

Evaluate following unit circle, Evaluate following sin 2 ?/3   and sin (-2 ...

Evaluate following sin 2 ?/3   and sin (-2 ?/3) Solution: The first evaluation in this part uses the angle 2 ?/3.  It is not on our unit circle above, though notice that  2 ?/

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