Algebraic and modulus inequalitiesEdexcel International A Level Further Maths: Mind map

Exam questions on Algebraic and modulus inequalities

1. Consider the inequality $\frac{x}{x-3}>2$.
   Hence solve $\frac{x}{x-3}\le2$.2 marks
2. Consider the inequality $|2x-3|<x+2$.
   Hence write down all the integers $x$ that satisfy $|2x-3|<x+2$.2 marks
3. Consider the inequality $\frac{1}{x-1}>\frac{x}{x-4}$.
   Show that the inequality is equivalent to $(x-1)(x-4)\left(x^2-2x+4\right)<0$.3 marks