Solve the system of inequalities : `3x-7<5+x`, `11-5xlt=1` and represent the solutions on the number line.

Answer

`2 le x < 6`

Explanation

From inequality (1), we have

`3x - 7 < 5 + x`
`implies 3x-x < 5+7`

`implies 2x < 12`

`implies x < 6 \ `... (3)

Also, from inequality (2), we have

`11 - 5 x le 1`

`implies -5x le 1-11`

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