Test Point Method


Exercises for students
Solve the following inequalities on paper and check your working using the above applet:
(a) (x - 2)(x - 3) < 0 (b) (x - 2)(x - 3) ≤ 0
(c) (x - 2)(x - 3) > 0 (d) (x - 2)(x - 3) ≥ 0
(e) (x - 2)(x - 3)(x - 4) < 0 (f) (x - 2)(x - 3)2 < 0
(g) 1 / (x - 2)(x - 3) < 0 (h) (x - 2) / (x - 3) ≤ 0
(i) (x - 2) / (x - 3)(x - 4) ≤ 0 (j) (x - 2)(x - 3) / (x - 4) ≤ 0
(k) (x - 2)(x - 3) / (x - 4)(x - 5) ≤ 0 (l) x(x - 1)(x - 2) > 0.
(m) x3 + x2 - 6x < 0. (n) (x + 5)/(2 - x) < 3.
(o) x(x + 1) < 12.


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