Determine the values for which (x^2 – 7x + 10 leq 0)
-
A.
2 (leq) x (geq) 5 -
B.
-2 (leq) x (leq) 3 -
C.
-2 (leq) x (geq) 3 -
D.
2 (leq) x (leq) 5
Correct Answer: Option D
Explanation
(x^2 – 7x + 10 leq 0)
Solve for (x^2 – 7x + 10 = 0)
We have, (x – 5)(x – 2) (leq) 0.
Conditions:
Case 1: (x – 5) (leq) 0, (x – 2) (geq) 0.
(implies) x (leq) 5; x (geq) 2.
2 (leq) x (leq) 5.
Choosing x = 3,
3(^2) – 7(3) + 10 = 9 – 21 + 10
= -2 (leq) 0.
(therefore) 2 (leq) x (leq) 5.
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