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solve the inequalities for real x , 4x...

solve the inequalities for real x , ` 4x + 3 lt 5x + 7`

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Given inequation : 4x + 3 lt 5x + 7
`rArr 4x + 3 (-7)lt 5x + 7 + (-7) rArr 4x - 4 lt 5x `
`rArr 4x - 4 - 4x lt 5x 4x rArr -4lt x`
`(-2x)/(-2) lt (6)/(-2) rArr x lt - 3`
`:. Solution = (-4, infty )`
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