Higher November 2021 Paper 2 Q13

EdexcelHigherCurrent spec3 marksLinear Graphs & Gradients Linear Inequalities

Grid from −4 to 5 on both axes showing the line y = 2x + 2, a line through (−4, 5) and (4, −3), and the line y = −3; the triangular region R between them is shaded

The region R, shown shaded in the diagram, is bounded by three straight lines.

Write down the three inequalities that define R.

(3)

Mark scheme

Scheme	Marks
\(y \geqslant -3\) oe \(x + y \leqslant 1\) oe \(y \leqslant 2x + 2\) oe	B3
	(3)
	(3 marks)

Notes

B3: for all 3 correct inequalities
(B2 for 2 correct inequalities
B1 for 1 correct inequality)
Allow \(\lt \) instead of \(\leqslant\) and \(\gt \) instead of \(\geqslant\)