Higher January 2021 Paper 2R Q7

EdexcelHigherCurrent spec3 marksLinear Inequalities

7 The shaded region R, shown in the diagram below, is bounded by the straight line with equation \(y = 3x - 2\) and by two other straight lines.

Write down the three inequalities that define region R.

Grid with x from -4 to 6 and y from -4 to 10 showing the lines y = 3x - 2, x = 3 and y = 1; the triangle between them is shaded and labelled R

(3)

Mark scheme

Scheme	Marks
\(y \geqslant 1\) oe	B1
\(x \leqslant 3\) oe	B1
\(y \leqslant 3x - 2\) oe	B1
	(3)
	(3 marks)

Notes

B1: Allow \(1 \leqslant y \leqslant 7\)

B1: Allow \(1 \leqslant x \leqslant 3\)

Condone \(\lt\) and \(\gt\) in place of \(\leqslant\) and \(\geqslant\) throughout.

SC B1 if no marks awarded, recognition of lines \(x = 3\) and \(y = 1\). Allow incorrect inequality and condone use of equals signs eg \(y \lt 1\), \(x = 3\) may be seen on diagram.