Answer:
The answer is:
x < 2 or x > 3
Explanation:
To find the range of values for which x
2
−5x+6<0, we can factor the left-hand side of the inequality. We have:
x
2
−5x+6=(x−2)(x−3)
Therefore, the inequality is true when x<2 or x>3. We can write this mathematically as:
x<2 or x>3
This is the range of values for which x
2
−5x+6<0.