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

The mean value theorem for integrals of even and odd , The Mean Value Theor...

The Mean Value Theorem for Integrals If  f (x ) is a continuous function on [a,b] then there is a number c in [a,b] such as,                                    ∫ b a f ( x

Process for solving linear equations, 1. If the equation has any fractions ...

1. If the equation has any fractions employ the least common denominator to apparent the fractions. We will do this through multiplying both sides of the equation by the LCD. Al

Measurement story problem, Seth has a pet goldfish. When he got his goldfis...

Seth has a pet goldfish. When he got his goldfish , it was only 5 centimeters long . Now it has grown to be 92 millimeters long. How many millimeters has the goldfish grown since

Regression coefficient, 4x+3y+7=0 and 3x+4y+8=0 find the regression coeffic...

4x+3y+7=0 and 3x+4y+8=0 find the regression coefficient between bxy and byx.

Chi-square test, my question involves frequencies less than five and i cann...

my question involves frequencies less than five and i cannot aggregate the data, what do i use instead of the chi-square test?

Functions , For the layman, a "function" indicates a relationsh...

For the layman, a "function" indicates a relationship among objects. A function provides a model to describe a system. Economists refer to deman

Prove that bd/cd = bf/ce, In the given figure, ∠AEF=∠AFE and E is the mid-p...

In the given figure, ∠AEF=∠AFE and E is the mid-point of CA. Prove that BD/CD = BF/CE Ans:    Draw CG ¦DF In ΔBDF CG ¦ DF ∴ BD/CD = BF/GF     .............(1)

Solve the limit problem, Solve the Limit problem as stated  Limit x tends...

Solve the Limit problem as stated  Limit x tends to 0 [tanx/x]^1/x^2 is ? lim m tends to infinity [cos (x/m)] ^m is? I need the procedure of solving these sums..

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