Moderate -0.8 This question requires identifying three inequalities from a diagram: one for the parabola (y < 6 + 4x - x²), one for the line (y > x + 2), and one for the x-axis or boundary. It's straightforward pattern recognition with no calculation needed, just understanding inequality notation for regions. Easier than average as it tests basic coordinate geometry concepts without computation.
\includegraphics{figure_11}
The diagram shows a sketch of the curve \(y = 6 + 4x - x^2\) and the line \(y = x + 2\). The point \(P\) has coordinates \((a, b)\). Write down the three inequalities involving \(a\) and \(b\) which are such that the point \(P\) will be strictly contained within the shaded area above, if and only if, all three inequalities are satisfied. [3]
\includegraphics{figure_11}
The diagram shows a sketch of the curve $y = 6 + 4x - x^2$ and the line $y = x + 2$. The point $P$ has coordinates $(a, b)$. Write down the three inequalities involving $a$ and $b$ which are such that the point $P$ will be strictly contained within the shaded area above, if and only if, all three inequalities are satisfied. [3]
\hfill \mbox{\textit{WJEC Unit 1 Q11 [3]}}