Inequalities represented graphicallyAQA A-Level Maths: Mind map

Exam questions on Inequalities represented graphically

1. A region $R$ of the $xy$-plane is defined by the inequalities $y>x+1$ and $y\le5-x$.
   Find the coordinates of the vertex of $R$, and state whether this vertex belongs to $R$.2 marks
2. The curve $C$ has equation $y=x^2-4x+3$ and the line $L$ has equation $y=x-1$.
   Find the set of values of $x$ for which $C$ lies on or above $L$.2 marks
3. A baker plans a day's work using $x$ trays of rolls and $y$ trays of cakes, where $x$ and $y$ are whole numbers. The constraints are $x\ge1$, $y\ge2$ and $2x+y\le10$.
   The inequalities define a triangular region when drawn. Find the coordinates of its three vertices.3 marks