Question
Question: If x<sup>2</sup> + 6x – 27 \> 0 and x<sup>2</sup> – 3x – 4 \< 0, then –...
If x2 + 6x – 27 > 0 and x2 – 3x – 4 < 0, then –
A
x > 3
B
x < 4
C
3 < x < 4
D
4 < x < 5
Answer
3 < x < 4
Explanation
Solution
(x + 9) (x – 3) > 0
(x > 3 or x < –9
(x – 4) (x + 1) < 0
–1 < x < 4
3 < x < 4