ML Aggarwal Solutions for Class 10 Maths Chapter 4 Linear Inequations

The mathematical statement in which the quantity on one side is not equal to the quantity on the other side is called an inequation. The form of a linear inequation in one variable is ax + b < c, where a, b and c are fixed numbers belonging to the set R. are linear inequation in one variable. In an inequation, the signs '>', '<', '≥' and '≤' are called signs of inequality. The graph of a linear inequality in one variable is a number line. Inequalities that have the same solution are called equivalent. There are properties of inequalities as well as there were properties of equality. All the properties below are also true for inequalities involving ≥ and ≤ We are confronted with mathematical inequalities almost every day, but you may not notice them because they are so familiar. Think about the following situations:<

  • Speed limits on the highway.
  • Minimum payments on credit card bills.
  • Some text messages you can send each month from your cell phone.
  • The amount of time it will take to get from home to school.

All of these can be represented as mathematical inequalities. And you use mathematical thinking as you consider these situations on a day-to-day basis. For example; the speed limit on the highway can be mathematically written as: Legal speed on the highway ≤ 65 miles per hour.