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

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

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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> N1  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

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