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Question

The range of values of x for which the inequality 3x25x34 is satisfied is given by


A

(23,35)

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B

[83,125)

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C

[1017,35)

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D

[35,125]

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Solution

The correct option is C

[1017,35)


3x25x34

We can't cross multiply 4 with (5x - 3) as (5x - 3) can be negative or positive.

3x25x340

3x2(20x12)5x30

17x+105x30

17x105x30 This inequality is not defined for x=35

Sign scheme of 17x105x3 is shown below

From above diagram, x[1017,35)


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