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nth Term of A.P

Solve for x i...

Question

Solve for x if (x-1) (x-2) (x-5) > 0

A

(1, 2)U(5, )

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B

(2, 5)

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C

[1, 2]U[5, ]

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D

(,1) U (2, 5)

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Solution

The correct option is A
(1, 2)U(5, )

On number line, mark zeroes of the polynomial (x-1)(x-2)(x-5)

By sign-scheme technique, we can get the scheme of signs as,

From above diagram,

(x-1) (x-2) (x-5) > 0

For x∈(1, 2)U(5, $\infty$ )

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