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solve the inequalities for real x 3x -7...

solve the inequalities for real x `3x -7 gt 5x -1`

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The correct Answer is:
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Given inequation : 3x - 7gt 5x -1
`rArr 3x - 7 + 7 gt 5s - 1 + 7 rArr 3xgt 5x +6`
`rArr 3x - 5x gt 5x + 6 -5x rArr -2x gt 6`
`rArr -(2x)/(-2)lt (6)/(2) rArr x lt -3`
`:. Solution = (-infty , -3)`
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