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3x - 7 gt 2 ( x - 6 ), 6 - x gt 11 - 2x...

`3x - 7 gt 2 ( x - 6 ), 6 - x gt 11 - 2x `

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`3x - 7 gt 2 (x - 6) and 6 - x gt 11 - 2x `
`rArr 3x - 7 gt 2x - 12 and - x + 2x gt 11 - 6 `
`rArr 3x - 2x gt - 12 + 7 and x gt 5 `
`rArr x gt- 5 and x gt 5 `
`rArr x gt 5 `
`:. x `in` ( 5, infty)`
Solution on number line
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The solution set of the inequalities 3x-7gt2(x-6) and 6-xgt11-2x, is