AS/A2 Pure 2 Pure 3

P1 Topic 2: Algebra
Linear inequalities
The inequality ax + b > cx + d can be illustrated on a graph. The graph of y = x is shown in blue. The graph is also given of y = 2x+2, but where 2x+2 > x this line is shown in red, otherwise it is shown in green. Therefore the solution to the inequality 2x+2 > x is is x > -2. Change the values of a, b, c and d, and solve ax+b > cx + d

Summary When solving any inequality ax+b > cx+d, you will first need to solve the equation ax+b = cx+d Note the difference that positive or negative a makes to the solution Based on free Java applets from JavaMath