Foundation January 2020 Paper 2R Q25

EdexcelCurrent 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.

Axes with the lines y = 6, x + y = 5 and y = x − 3. The shaded triangle R lies below y = 6, above x + y = 5 and to the left of (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
\(y \leqslant 6\) \(x + y \geqslant 5\) \(y \geqslant x - 3\)	B2
	(2)
	(4 marks)

Notes

B2: B2 for 3 correct inequalities
B1 for 2 correct inequalities
(In both cases allow \(\lt \) in place of \(\leqslant\), and \(\gt \) in place of \(\geqslant\))