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4x+3 ge 2x+ 17, 3x-5 lt -2...

`4x+3 ge 2x+ 17, 3x-5 lt -2`

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We have, `4x+3 ge 2 x+17`
`rArr 4x-2x ge 17-3 rArr 2x ge 14`
`rArr x ge (14)/2`
`rArr x ge 7 ` …(i)
Also, we have ` 3x-5 lt - 2`
`rArr 3x lt -2 +5 rArr 3x lt 3`
`rArr x lt 1 ` …(ii)
On combining Eqs. (i) and (ii), we see thet solution is not possible because nothing is common between these two solutions. (i.e.,`x lt 1,x ge 7`).
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