I find that a lot of A. Math students, even JC students,
are weak in solving inequalities. For A. Math, some of the common
mistakes are:
(1) thinking that (x-4)(x+1) > 0 means that (x-4) > 0 or (x+1) > 0;
(2) thinking that (x^2 -9) > 0 means that x > +- 3;
(3) forgetting to change the inequality sign when multiplying or
dividing by a negative number, especially ‘hidden’ negative numbers such as
log(0.7).
Many JC students are also weak in solving inequalities, probably
due to not overcoming misconceptions abt inequalities when they were in
secondary school and new challenges posed by Inequalities in H2 Math, such as
in solving (x+2) / (x-3) < 0.
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