Linear and quadratic inequalitiesEdexcel A-Level Maths: Flashcards

What these 13 flashcards ask

What happens when you multiply or divide an inequality by a negative number?
Solve 7-2x<3x+1.
What are critical values?
Solve x^2-3x-10<0.
Solve x^2-3x-10\ge0.
Solve x^2\le16.
When is 'and' used and when is 'or'?
Set notation for -2<x<5?
Why multiply by (x+2)^2, not (x+2)?
Solve \frac{6}{x+2}<3.
How do you solve f(x)<g(x) graphically?
Dotted or solid line for yx+1?
Dotted or solid line for y\le x^2+2?

Exam questions on Linear and quadratic inequalities

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
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
A student is solving inequalities involving the expression $\frac{6}{x+2}$ , where $x\neq-2$ .
Solve $\frac{6}{x+2}<3$ .3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).