If 9x - 5y - 32 and x - 30- 35- then y lies in the interval

Name: JEE- Grade 11- Mathematics- Fundamentals of Mathematics 4- Session 04- D04
Uploaded: 2022-07-04T10:36:42+05:30
Description: 30 x 35 ⇒ 270 9x 315 ⇒ 270 5(y – 32) 315 ⇒ 54 y – 32 63 ⇒ 86 y 95 ...

30 x 35 ⇒ 270 9x 315 ⇒ 270 5(y – 32) 315 ⇒ 54 y – 32 63 ⇒ 86 y 95 ...

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Standard XIII

Mathematics

Different Types of Intervals in Inequality

If 9x = 5y – ...

Question

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

(86, 95)

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(85, 96)

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(80, 95)

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(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 XIII Mathematics

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If 9x=5(y–32) and x∈(30,35), then y lies in the interval

The correct option is A (86,95)30<x<35 ⇒270<9x<315 ⇒270<5(y–32)<315 ⇒54<y–32<63 ⇒86<y<95

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

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