Foundation June 2021 Paper 1 Q22

EdexcelCurrent spec5 marksLinear Inequalities

(a)

Number line from -3 to 3 with a solid circle at 2 and an arrow pointing left

Write down the inequality shown on the number line. (1)

\(-4 \leqslant 2y \lt 6\)

\(y\) is an integer.

(b) Write down all the possible values of \(y\). (2)

Scheme	Marks
\(x \leqslant 2\)	B1
	(1)

Mark scheme (b)

Scheme	Marks
−2, −1, 0, 1, 2	B2
	(2)

Notes

B2: (B1 for 4 correct values and no incorrect values (eg –1, 0, 1, 2) or for 6 values with no more than one incorrect value (eg –2, –1, 0, 1, 2, 3))

Mark scheme (c)

Scheme	Marks
\(7t - 2t \leqslant 31 + 3\) or \(5t \leqslant 34\) or \(-3 - 31 \leqslant 2t - 7t\) or \(-34 \leqslant -5t\) oe	M1
Working required Answer: \(t \leqslant 6.8\)	A1
	(2)
	(5 marks)

Notes

M1: \(t\) terms on one side and numbers on the other. Condone = rather than \(\leqslant\) or any other sign for this mark.

A1: oe eg \(t \leqslant \dfrac{34}{5}\) or \(t \leqslant 6\dfrac{4}{5}\) or \(6.8 \geqslant t\)

Must have correct sign on answer line dep on M1

(sight of correct answer in working space and just 6.8 on answer line gains M1 only)