Linear and quadratic inequalitiesAQA A-Level Maths: Mind map

Exam questions on Linear and quadratic inequalities

1. The inequality $3(2x-1)<5x+4$ is to be solved, together with the inequality $2x+1\ge-5$.
   Write the solution set in part (b) using set notation, and state how many integers it contains.2 marks
2. A rectangular garden has width $x$ metres and length $(x+6)$ metres.
   The perimeter of the garden must be at least $20$ m as well. Find the range of values of $x$ for which both the perimeter and the area conditions are met.2 marks
3. Let $f(x)=2x^2-5x-12$.
   Solve $f(x)\ge0$.3 marks