Compound Inequalities - Maths Online Tutoring

Compound Inequalities - Maths Online Tutoring Compound Inequalities are an effective tool for solving linear and quadratic in equations. Two or moreinequality joined together to form compound inequality. The inequalities are joined with and or. It can alsobe represented by single inequality. And represent intersection of inequalities and Or represents union ofinequalities. There are various methods for solving inequalities. We can use number line to representinequalities. Compound inequalities are mostly used in real world problems to find out the range. Addition -Subtraction rule and Multiplication-Division rules are to be followed while solving linear inequalities. The below mentioned two examples will help us in understanding the same in better way. Example 1:- Solve for x: -1 9 + n 17. Then graph the solution. Solution:- The steps to solve this equation are as follows: -1 9 + n 17 -1 9 9 + n 9 17 9 (use property) - 10 n 8 The value of n lies between -10 and 8. Representation by graph, Example 2:- Solve the compound inequality 8x 4 or 2x 3 7. Then graph the solution. Solution:- The steps to solve this equation are as follows: 4x 8 or 2x 3 7 Split the inequality as 4x 8 or 2x 3 7 Take first inequality 4x 8 x 2 Now take second inequality 2x 3 7 2x 10 x 5 Therefore, we get x 2 or x 5. By Graph, These above examples help to understand the way to solve the compound inequalities and representing in graph.