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
You are going on a road trip and you buy snack packs and three different kind of beverages.  You buy 7 Cokes, 5 Pepsis and 4 Dr. Peppers.  You pull out two beverages at random.  An

Factoring Polynomials with Degree Greater than 2 There is no one method for doing these generally.  However, there are some that we can do so let's take a look at a some exa

Mark has three 4 1/2 oz cans of tomatoes and ?ve 8 1/4 oz cans. How many ounces of tomatoes does Mark have? Ignore the fractional parts of the mixed numbers at first and mul

Determine if the three vectors a → = (1, 4, -7), b → = (2, -1, 4) and c → = (0, -9, 18) lie in similar plane or not. Solution Thus, as we noted prior to this example al

What is a marketing plan

What are Factor Trees explain? In algebra, we often need to factor a number into its prime factors. One way to do this is to use a factor tree. This is a network of numbers, st

The locus of the midpoint of the chords of an ellipse which are drawn through an end of minor axis is called

Illustrates that the following numbers aren't solutions to the given equation or inequality. y = -2 in 3( y + 1) = 4 y - 5 Solution In this case in essence we do the sam

Data collected from the STATS 10x class survey one semester included responses to questions on the number of different sexual partners and on the number of pairs of shoes the stude

#question what is input and output analysis