Linear and quadratic inequalitiesEdexcel A-Level Maths: Mind map

Exam questions on Linear and quadratic inequalities

1. The inequality $7-2x<3x+1$ is given.
   Find the set of values of $x$ that satisfy both $7-2x<3x+1$ and $x^2\le16$. Give your answer in set notation.2 marks
2. A curve has equation $y=x^2-3x-10$.
   Find the set of values of $x$ for which the curve lies below the line $y=2x+4$.2 marks
3. A student is solving inequalities involving the expression $\frac{6}{x+2}$, where $x\neq-2$.
   Solve $\frac{6}{x+2}<3$.3 marks