FP2 June 2010 Q3

EdexcelOld spec7 marksInequalities

(a) Find the set of values of \(x\) for which \[x + 4 > \frac{2}{x + 3}\] (6)

(b) Deduce, or otherwise find, the values of \(x\) for which \[x + 4 > \frac{2}{|x + 3|}\] (1)

Mark scheme (a)

Scheme	Marks
\((x + 4)(x + 3)^2 - 2(x + 3) = 0\), \((x + 3)(x^2 + 7x + 10) = 0\) so \((x + 2)(x + 3)(x + 5) = 0\) or alternative method including calculator	M1
Finds critical values \(-2\) and \(-5\)	A1 A1
Establishes \(x > -2\)	A1ft
Finds and uses critical value \(-3\) to give \(-5 < x < -3\)	M1A1
	(6)