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

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

Posted Date: 2/12/2013 2:45:40 AM | Location : United States

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.

Posted by Jacob | Posted Date: 2/12/2013 2:47:29 AM

Related Discussions:- rules for solving linear in-equations - linear algebra, Assignment Help, Ask Question on rules for solving linear in-equations - linear algebra, Get Answer, Expert's Help, rules for solving linear in-equations - linear algebra Discussions

Write discussion on rules for solving linear in-equations - linear algebra
Your posts are moderated
Related Questions
A long distance calls costs x cents for the first minute and y cents for every additional minute. How much would a 5-minute call cost? The cost of the call is x cents plus y ti

How to Multiplying Monomials? To multiply monomials: Step 1: Multiply the coefficients. Step 2: Multiply the like variables by adding their exponents. Step 3: Multiply ans

INTRODUCTION : Most of us, when planning the first mathematical experience for three-year olds, think in terms of helping them memorise numbers from 1 to 20. We also teach them to

Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, r

Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a

If A be the area of a right triangle and b one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2  Ab /√ b 4 +4A 2 . An

Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.

Solve the recurrence relation T (K) = 2T (K-1), T (0) = 1 Ans: The following equation can be written in the subsequent form:  t n - 2t n-1 =  0  Here now su