4MA0 Higher January 2014 Paper 3 Q7

EdexcelHigherOld spec6 marksLinear Inequalities

(a)

Number line from -3 to 6 with an open circle at -1 joined to a filled circle at 4

An inequality is shown on the number line.
Write down this inequality. (2)

(b)

(i) Solve the inequality \(2(y - 3) \geqslant 1\)

(ii) Write down the lowest integer which satisfies this inequality.

(4)

Mark scheme (a)

Scheme	Marks
\(-1 \lt x \leqslant 4\)	B2
	(2)

Notes

B2: Also accept both \(x \gt -1\) and \(x \leqslant 4\) or \(4 \geqslant x \gt -1\)

B1 for a double-ended inequality which is correct at one end (ignore the other end) eg. \(-1 \leqslant x \leqslant 4\), \(-1 \lt x \gt 4\)

or \(-1 \leqslant x \lt 4\),

or award B1 for an answer of \(x \gt -1\) or \(x \leqslant 4\)

Mark scheme (b)

Scheme	Marks
(i) \(2y - 6 \geqslant 1\)	M1
\(2y \geqslant 7\)	M1
\(y \geqslant 3\frac{1}{2}\) oe	A1
(ii) Answer: 4	B1
	(4)
	(6 marks)

Notes

M1: M2 for \(y - 3 \geqslant \frac{1}{2}\)
For method marks condone use of > instead of \(\geqslant\)

B1: cao