Rules for inequalities, Mathematics

Assignment Help:

Here we look at only the rules without going into their proofs. They are:

  1. a < b, if and only, if b - a > 0.

  2. If a < b and b < c, then a < c.

  3. If a < b, then (a + c) < (b + c).

  4. If a < b, then -a > -b.

  5. If a < b and

  1. x = 0, then ax = bx

  2.  x < 0, then ax > bx

  3. x > 0, then ax < bx

      6. If 0 < a < b, then 0 < 1/b < 1/a.


Related Discussions:- Rules for inequalities

Applications of series - estimating the value of a series, Estimating the V...

Estimating the Value of a Series One more application of series is not actually an application of infinite series.  It's much more an application of partial sums.  Actually, we

F distribution or variance ratio distribution, Frequency Distribution or Va...

Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d

How to solving one-step equations, How to Solving One-Step Equations? E...

How to Solving One-Step Equations? Equations, where one math operation is acting on the variable, can be solved in one step. The trick is to get the variable x by itself - isol

Arthimetic progressions, what is the ratio of sides of a right angle triang...

what is the ratio of sides of a right angle triangle which are in A.P

Produce list containing m-vectors delta and lambda, The logarithm of the Po...

The logarithm of the Poisson mixture likelihood (3.10) can be calculated with the following R code: sum(log(outer(x,lambda,dpois) %*% delta)), where delta and lambda are m-ve

.., the circumference of a circle C of radius r is given by C=2pR.taking p ...

the circumference of a circle C of radius r is given by C=2pR.taking p to be 22/7 a)find the circumference when the radius is 28 cm b)find the radius when the circumference is 484

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