4MA0 Foundation January 2015 Paper 2 Q22

EdexcelFoundationOld spec4 marksLinear Inequalities

(a) Solve the inequality \(\;3x + 8 \lt 35\) (2)

(b) Write down the inequality shown on the number line.

Number line from -5 to 5 with an open circle at -2 joined to a filled circle at 4

(2)

Mark scheme (a)

Scheme	Marks
\(3x \lt 35 - 8\) or \(3x \lt 27\)	M1
\(x \lt 9\)	A1
	(2)

Notes

M1: allow \(3x = 35 - 8\) or \(3x = 27\)
condone incorrect inequality sign

A1: for \(x \lt 9\) or \(9 \gt x\)
NB: Final answer must be an inequality
SC : B1 for \(x \leqslant 9\) or \(x = 9\) or 9 as an answer

Mark scheme (b)

Scheme	Marks
\(-2 \lt x \leqslant 4\) oe	B2
	(2)
	(4 marks)

Notes

B2: B1 for one end of inequality correct ie. \(-2 \lt x\) or \(x \leqslant 4\) OR \(-2 \leqslant x \lt 4\)
condone the use of a variable other than \(x\) but not O