Solving compound inequalities

Solving compound inequalities Inequality is the equation which has less than or greater than symbols in it i.e. and respectively. Equality is when we can equate both sides of the equation and is represented by =. The greater that sign in an inequality signifies that the left hand side of the equation is greater than the right hand side. The lesser that sign in an inequality signifies that the left hand side of the equation is lesser that the right hand side. Linear inequalities is the inequalities where the degree of the variables is one. Example 1: Find the solution of the linear inequality 6 x - 3 15? Solution: Given is the equation with one unknown variables x. Here, 6 x - 3 15 is a linear inequality with greater than sign. Adding 3 on both sided of the equation. 6x +3 -3 15 + 3; 6 x 18; Now divide by 6 on both sides of the equation. 6 x/6 18 / 6; x 3. Hence the solution to the linear inequality is x 3. Example 2: Find the solution of the linear inequality 18 z - 6 30? Solution: Here 18 z - 6 30 is a linear inequality with less than sign. Add 6 on both sided of the equation. 18 z - 6 + 6 30 + 6; 18 z 36; Now divide by 8 on both sides of the equation. 8 z/8 36/18; z 2. Hence the solution to the linear inequality is z 2.