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(x)/(4) lt ((5x - 2))/(3) - ((7x - 3))/(...

`(x)/(4) lt ((5x - 2))/(3) - ((7x - 3))/(5)`

Text Solution

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The correct Answer is:
N/a
Given inequation :
`(x)/(4) lt ((5x - 2))/(3) - ((7x - 3))/(5)`
` rArr (x) /(4) lt (5(4x - 2) - 3(7x - 3))/(15) `
` rArr (x)/(4)lt ( 25x - 10 - 21x + 9 )/(15) `
`rArr (x)/(4)lt (4x - 1)/(15) `
`rArr 60 xx (x)/(4) lt (60(4x -1))/(15)`
`rArr 15x lt 4(4x - 1 ) rArr 15x lt 16x - 4 `
`rArr -x - 4 `
`rArr x gt 4 `
`:.` Solution = (4, `infty` )
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