Solving Linear Inequalities HOTS Question
Inequalities 1. To write the relationship between two quantities which are not equal, we use the following inequality signs: > greater than < less than ≥ greater than or equal to ≤ less than or equal to 2. 7 > 4 also means 4 < 7. 7 > 4 and 4 < 7 are equivalent inequalities . Linear Inequalities in One Unknown 1. An inequality in one unknown to the power of 1 is called a linear inequality . Example: 2 x + 5 > 7 2. A linear inequality can be represented on a number line . Example: Computation on Inequalities 1. When a number is added or subtracted from both sides of an inequality, the condition of the inequality is unchanged . Example: Given 5 > 3 Then, 5 + 2 > 3 + 2 ← (symbol ‘>’ remains) Hence, 7 > 5 2. When both sides of an inequality are multiplied or divided by the same positive number, the co...