Equation and Inequalities

Equation and Inequalities We can say equation is a statement that shows two mathematical expressions are equal in value. For example, x + 2 = 0. We can say inequation is also a statement that uses the symbols like , , , . We can use these symbols to indicate that one quantity is larger or smaller than other. Example 1: Solve for x: 6x 14 = x + 11 Solution: The given equation is 6x 14 = x + 11 We can add 14 on both sides 6x 14 + 14 = x + 11 + 14 6x = x + 25 Now we can subtract x on both sides 6x x = x + 25 x 5x = 25 Divide by 5 on both sides of the above equation, we get, x = 5. Example 2: Solve the inequality 7x 6 43 Solution: The given inequality is 7x 6 55 We can add + 6 on both sides of the inequation 7x 6 + 6 43 + 6 7x 49 Now we can divide by 7, then we get So the solution of the given inequality is (-, 7]. Or We can write this as x = {.-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7} Example3: Solve the inequality 3x +1 13 Solution: The given inequality is 3x +1 13 We can subtract 1 on both sides of the inequation 3x + 1 1 13 1 3x 12 Divide by 3, Then we get x 4 We can write the solution as x = {4, 5, 6, 7,}