| Date | May 2008 | Marks available | 6 | Reference code | 08M.2.hl.TZ2.10 |
| Level | HL only | Paper | 2 | Time zone | TZ2 |
| Command term | Find | Question number | 10 | Adapted from | N/A |
Question
Find the set of values of x for which \(\left| {0.1{x^2} - 2x + 3} \right| < {\log _{10}}x\) .
Markscheme
Attempting to solve \(\left| {0.1{x^2} - 2x + 3} \right| = {\log _{10}}x\) numerically or graphically. (M1)
x = 1.52, 1.79 (A1)(A1)
x = 17.6, 19.1 (A1)
\((1.52 < x < 1.79) \cup (17.6 < x < 19.1)\) A1A1 N2
[6 marks]
Examiners report
This question was generally not well done. A number of candidates attempted an ‘ill-fated’ algebraic approach. Most candidates who used their GDC were able to correctly locate one inequality. The few successful candidates were able to employ a suitable window or suitable window(s) to correctly locate both inequalities.
