Systems of second-degree inequalities
Answers are for parents and teachers.
1
Solve the system x² − 5x + 4 < 0 and x − 2 > 0.
2 < x < 4
2
Solve the system x² − 9 > 0 and x² − 16 < 0.
−4 < x < −3 or 3 < x < 4
3
Solve |x² − 2x| < 3.
−1 < x < 3
4
Find the domain of y = √(x² − x − 2) + √(3 − x).
x ≤ −1 or 2 ≤ x ≤ 3
5
Why does the system x > 3 and x < 1 have no solution?
The solution sets have no common part: a number greater than 3 cannot be less than 1.