11th Mathematics NCERT Chapter 5

– Introduction to linear inequalities in one and two variables: Study of inequalities in various fields like science, mathematics, statistics, economics, psychology, etc. 【4:0†source】.

– Numerical and literal inequalities: Understanding examples of numerical and literal inequalities like 3 < 5 and x < 5, respectively, and double inequalities like 3 < x < 5 【4:0†source】.

– Properties of inequalities: Rules for solving inequalities, such as adding/subtracting equal numbers, multiplying/dividing by positive numbers, and reversing the inequality sign when multiplying/dividing by negative numbers 【4:3†source】.

– Algebraic solutions and graphical representation: Solving and graphically representing inequalities like 30x < 200 and 5x – 3 < 3x + 1 in one variable, along with examples to illustrate the solutions 【4:2†source】【4:4†source】.

– Real-life applications: Applying inequalities to real-life scenarios like temperature conversion problems, finding minimum marks required in exams, and determining pairs of consecutive odd natural numbers with specific conditions 【4:1†source】【4:4†source】.