LINEAR INEQUALITIES

LINEAR INEQUALITIES : 1. Two real number or two algebraic expression related by the symbols greater then and less then form an inequality. 2. Equal number may be added to (or subtracted from )both side of an inequality. 3. Both side of an inequality can be multiplied (or divided) by the same positive number, But when both side are multiplied (or divided) by a negative number, then the inequality is reversed. 4. The value of x, which make an inequality a true statement, are called solutions of the inequality. 5. To represent x less then a (or x greatdr then a) on a number line, put a circle on the number a and dark line to the left (or right) of the number a. 6. To represent a number line, put a dark circle on the number a and dark the line to the left (or right) of the number x. 7. If an inequality is having symbol, then the point on the line are also included in the solutions of the inequality and the graph of the inequality lies left (below) or right (above) of the graph of the equality represented by dark line that satisfies and arbitrary point in the part. 8. If an inequality is having greater then or less then symbole. Then the point on the line are not included in the solutions of the inequality and the graph of the inequality lies to the left (below) or right (above) of the graph of the corresponding equality represented by dotted line that satisfies an arbitrary point in that part. 9. The solution region of a system of inequalities is the region which satisfies all the given inequalities in the system simultaneously.