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Find the greatest integer x satisfying t...

Find the greatest integer x satisfying the inequality `(2x+1)/3-(3x-1)/2>1`

Text Solution

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`(2x+1)/3 - (3x-1)/2 gt 1`
`=>4x+2-9x+3 gt 6`
`=>-5x+5-6 gt 0`
`=>-5x-1 gt 0`
`=>-5x gt 1`
`=>x lt -1/5`
So, `x lt -1/5`, will satisfy the given condition.
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