Multiplication Property of Inequality

When multiplying one side of an inequality with a positive number it's important to multiply the other side by the same number to ensure that the inequality still holds. For example, the inequality 0.2x≤2 can be multiplied by 5 on both sides. 5*0.2x≤ 5* 2 ⇔ x≤ 10 However, this only yields when multiplying by positive numbers. When multiplying both sides by a negative number the inequality sign must be flipped.