Higher November 2017 Paper 1 Q23
23 Here is a rectangle and a right-angled triangle.
All measurements are in centimetres.
The area of the rectangle is greater than the area of the triangle.
Find the set of possible values of \(x\). (5)
| Answer | Mark | Notes |
|---|---|---|
| \(x \gt 2\) | P1 | for process to derive algebraic expressions for area of both rectangle and triangle eg \((x - 1)(3x - 2)\) and \((2x \times x) \div 2\) (condone missing brackets) |
| M1 | for method to rearrange inequality to \(2x^2-5x+2 \gt 0\) oe providing in the form \(ax^2 + bx + c \gt 0\) | |
| M1 | for a correct method to solve \(2x^2-5x+2\gt 0\) | |
| M1 | for establishing critical values 2 and \(\dfrac{1}{2}\) | |
| A1 | \(x \gt 2\) |