Solve: $x(x-1) (x-2) (x-3) > 0$.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $(−∞,0)∪(1,2)∪(3,∞)$
Given $x(x-1) (x-2) (x-3) > 0$.
Mark the numbers 0, 1, 2, 3 on real line. By method of intervals, we see that given inequality is satisfied when x > 3 or 1 < x < 2 or x < 0.
∴ The solution set is $(−∞,0)∪(1,2)∪(3,∞)$.