Higher January 2020 Paper 2R Q11

EdexcelHigherCurrent spec4 marksLinear Inequalities

(a) Write down the integer values of \(x\) that satisfy the inequality \(\;-2 \lt x \leqslant 4\) (2)

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

Coordinate axes with the lines y = 6, y = x − 3 and x + y = 5; the shaded triangular region R lies below y = 6, above x + y = 5 and above y = x − 3

Diagram NOT accurately drawn

(b) Write down the three inequalities that define the region R. (2)

Scheme	Marks
−1, 0, 1, 2, 3, 4	B2
	(2)

Mark scheme (b)

Scheme	Marks
\(y \leqslant 6\) oe \(x + y \geqslant 5\) oe \(y \geqslant x - 3\) oe	B2
	(2)
	(4 marks)

Notes

B2: B2 for 3 correct inequalities
B1 for 2 correct inequalities
SC B2 for \(y \geqslant 6\) oe and \(x + y \leqslant 5\) oe and \(y \leqslant x - 3\) oe
(In all cases allow \(\lt \) in place of \(\leqslant\), and \(\gt \) in place of \(\geqslant\))