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Question

Given that y=6x+1 and 3<x<23. Then y lies in which of the following intervals.


A

(18,4)

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B
(3,19)
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C
(19,3)
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D
(3,19)
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Solution

The correct option is D (3,19)

Given that, 3<x<23.
Here we need to convert x into y using the properties of inequalities that we learnt. So we wil start with multiplying the given inequality with -6. Since this is a negative number the inequality sign reverses
3(6)>x(6)>23(6)
18>6x>4

Now adding 1 to the inequality.
19>6x+1>3

i.e., 19>y>3
y(3, 19)


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Properties of Inequalities
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