The method of intervals
Answers are for parents and teachers.
1
Solve (x + 3)(x − 2)(x − 6) ≤ 0.
x ≤ −3 or 2 ≤ x ≤ 6
2
Solve x³ − 9x > 0.
−3 < x < 0 or x > 3
3
Solve (x − 5) : (x + 2) ≤ 0.
−2 < x ≤ 5
4
Solve (x − 1)²(x + 4) > 0.
−4 < x < 1 or x > 1
5
Solve (x² − 4x + 3) : (x − 2) > 0.
1 < x < 2 or x > 3