Question

Solve this question ​

Answer 1

`(4x - 11)/(2) \leqslant 3x - 3 < 4 \\ \\ = > (4x - 11)/(2) \leqslant 3x - 3 \: and \: 3x - 3 < 4 \\ \\ < = > 4x - 11 \leqslant 6x - 6 \: \: and \: \: 3x < 7 \\ \\ < = > 2x \geqslant - 5 \: \: and \: \: x < (7)/(3) \\ \\ < = > ( - 5)/(2) \leqslant x < (7)/(3)`

=> the greatest integer is 2

the smallest integer is -2