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)    A palindrome is a word that reads the similar whether read from right to left or from the left to right, the word ROTOR, for example. Let  be the number of words of length n,

1. A rectangular piece of cardboard measuring 15 inches by 24 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the side

Tommy has a Nexus 4 that charges poorly. He placed his phone to charge,after 20 minutes the phone was 27% and after 85 minutes the phone was at 66%. Find how many percentage the p



Find out some solutions to y′′ - 9 y = 0 Solution  We can find some solutions here simply through inspection. We require functions whose second derivative is 9 times the


Explain how we Converting Fractions to Percents ? To convert a fraction to a percent: 1. Convert the fraction to a decimal using long division. 2. Move the decimal point two p


Ribbon is wrapped around a rectangular box that is 10 by 8 by 4 in. Using the example provided, calculate how much ribbon is needed to wrap the box. consider the amount of ribbon d