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A solution is be kept between 40^(@)C an...

A solution is be kept between `40^(@)C and 45^(@)C`. What is the range of temperature in degree fahrenheit, if the conversion formula is `F = 9/5 C +32`?

Text Solution

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`F=(9)/(5)C+32rArr C=(9)/(5)(f-32)." "…(i)`
`therefore 40ltClt45`
`rArr 40lt(5)/(9)(F-32)lt45`
`rArr 40 lt(5)/(9)(F-32)and (5)/(9)(F-32)lt45`
`rArr40xx(9)/(5)ltF-32and F-32lt45xx(9)/(5)`
`rArr 72ltF-32 and F-32 lt81`
`rArr 72+32ltF and Flt81+32`
`rArr 104ltF andFlt113`
`rArr104ltFlt113`.
Hence, the solution is to be kept between `104^(@)F and 113^(@)F1`.
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