A-Level Maths Edexcel (9MA0)

Solve linear and quadratic inequalities in a single variable and interpret such inequalities graphically, including inequalities with brackets and fractions.

e.g. solving
$ax + b > cx + d$,
$px^2 + qx + r ≥ 0$,
$px^2 + qx + r < ax + b$
and interpreting the third inequality as the range of $x$ for which the curve $y = px^2 + qx + r$ is below the line with equation $y = ax + b$

Inequalities with brackets and fractions would be reducible to linear or quadratic inequalities
e.g. $\frac{a}{x} < b$ becomes $ax < bx^2$

Express solutions through correct use of ‘and’ and ‘or’, or through set notation.

So, e.g. $x < a$ or $x > b$ is equivalent to $\{ x : x < a \} ∪ \{ x : x > b \}$ and $\{ x : c < x \} ∩ \{ x : x < d \}$ is equivalent to $x > c$ and $x < d$

Represent linear and quadratic inequalities such as $y > x + 1$ and $y > ax^2 + bx + c$ graphically.

Shading and use of dotted and solid line convention is required.