rules for solving linear in-equations - linear algebra, Mathematics

Assignment Help:

Explain what are the Rules for solving linear in-equations?


Related Discussions:- rules for solving linear in-equations - linear algebra

Experience language pictures symbols-e - l - p - s , E - L - P - S : Has t...

E - L - P - S : Has the title of this section stumped you? Children, similarly, don't understand new symbols that are thrust upon them without giving them an adequate grounding. Y

Prove that ac2 =ab2 + bc2+2bcxbd, If ABC is an obtuse angled triangle, obtu...

If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC 2 =AB 2 + BC 2 +2BCxBD Ans:    AC 2 = AD 2 + CD 2 = AD 2 + (BC + BD) 2 = A

If tan2x.tan7x=1 , tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its give...

tan9x = (tan7x + tan2x)/(1 - tan7x*tan2x) here its given 1 - tan2x*tan7x= 0 implies tan9x = infinity since tan9x = (3tan3x - tan^3(3x))/(1 - 3tan^2 (3x)) = infinity implies

Coordinate geometry, find the value of x for which the distance between the...

find the value of x for which the distance between the points p(4,-5) and q(12,x) is 10 units

TRIGONOMETRY, EXPLAIN ME ABOUT ITS FUNCTIONS.

EXPLAIN ME ABOUT ITS FUNCTIONS.

Quadratic equations, Q UADRATIC EQUATIONS: For  the  things  of this  wor...

Q UADRATIC EQUATIONS: For  the  things  of this  world  cannot  be  made  known without  a  knowledge of mathematics. Solve by factorization a.    4x 2 - 4a 2 x +

Standard hypothesis tests, Standard Hypothesis Tests In principal, we c...

Standard Hypothesis Tests In principal, we can test the significance of any statistic related to any type of probability distribution. Conversely we will be interested in a few

Indices, What is a way to solve indices

What is a way to solve indices

We know this equation a°=1.prove this?, we know that log1 to any base =0 ta...

we know that log1 to any base =0 take antilog threfore a 0 =1

The shortest distance between the line y-x=1 and curve x=y^2, Any point on ...

Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2

Jacob

2/12/2013 2:47:29 AM

These are the rules for solving linear in-equations.

Suppose M, M1, N, N1 and P are expressions such may or may not include variables after that the corresponding rules for solving in-equations will be as:

Rule 1: Addition rule

            If M > N and M1> N

So M + P > N + P and

M1 + P >N1+ P

Rule 2: Subtraction Rule

            If M < N and M1 ≥N1

So M - P < N - P and

M1 - P ≥N1- P

Rule 3: Multiplication rule

If M ≥N and M1 > N1 and P≠ 0

So MP ≥NP; M1P > N1P

M(-P) ≤ N(-P) and M1(-P)  < N1(-P)

Rule 4: Division

If M > N and M1< N1 and  P≠ 0

So M/P > N/P:  M1/P < N1/P

M/(-P) < N/(-P) : and M1/(-P) > N1/(-P)

Rule 5: Inversion Rule

If M/P ≤ N/Q where P, Q ≠ 0

M1/P > N1/Q

So P/M ≥ Q/N and P/M1 < Q/N1

Note: The rules for solving equations are the similar as those for solving equations along with one exception; whereas both sides of an equation is divided or multiplied by a negative number, the inequality symbol should be reversed see rule 3 & Rule 4 above.

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