Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

In this video we will learn about the plotting of graphs for a pair of linear equations in two variables. Two straight lines are obtained when we plot a pair of linear equations on the graph paper ...

Some important points to revise from the chapter are: • An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b are not both zero, is called a linear equation in ...

Show values that satisfy an inequality on a set of axes by drawing the line of the corresponding equation and shading the area specified in a question. Include a dashed line for inequalities where the ...

Simultaneous linear equations are used to model situations where two relationships must be satisfied at the same time. These problems often involve two interdependent variables, such as comparing ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Abstract: It is known that information inequalities on four random variables cannot be generated from a finite list. For the analogous case of linear rank variables, it is known that they can be ...