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Different Types of Intervals in Inequality

If 9 x =5 y -...

Question

If $9 x = 5 (y - 32)$ and $x \in (30, 35)$ , then $y$ lies in the interval

A

(86, 95)

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B

(85, 96)

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C

(80, 95)

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D

(80, 96)

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Solution

The correct option is A $(86, 95)$
$30 < x < 35$
$\Rightarrow 270 < 9 x < 315$
$\Rightarrow 270 < 5 (y - 32) < 315$
$\Rightarrow 54 < y - 32 < 63$
$\Rightarrow 86 < y < 95$

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Different Types of Intervals in Inequality

Standard XII Mathematics

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