Title Linear Inequalities-02.pptx ✅

LINEAR INEQUALITIES Solution of System of Linear Inequalities in One Variable We know that, the solution set of a linear inequality in one variable is the set of all points on the number line satisfying the given inequality. Therefore, the solution set of a system of linear inequalities in one variable is defined as the intersection of the solution set of the linear inequalities in the system. e.g. If the solution sets of linear inequalities in the system are (− ∞, 5] and [5, ∞), then the solution of system of linear inequalities in one variable is 5 only. Because, if we represent the solution sets on the number line, we see that the value which are common to both is 5 only.

LINEAR INEQUALITIES Type 2 This type of inequalities will be formed by combining the inequalities To solve such type of inequalities, make the middle term free from constant (i.e. write the given inequalities as f ≤ x ≤ g, where f and g are some real numbers by using the rule of addition, subtraction, multiplication, division in each term of given inequalities.)