Question

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Answer 1

There is no solution for given system of inequalities.

Explanation:

The system of linear inequalities are given by

`y > (3)/(2) x - 1` ...... (1) and

`y < (3)/(2) x - 1` .......... (2)

The solution of the inequality
`y > (3)/(2) x - 1` is shown in the graph by the blue shaded zone and the solution of the inequality
`y < (3)/(2) x - 1` is shown in the graph by the red zone.

And it is clear that the solution of the system of inequality equation does not include the line
`y = (3)/(2) x - 1`

Again, there is no overlap of the blue zone and the red zone so as to indicate solutions for both the inequalities.

Therefore, there is no solution for inequalities (1) and (2). (Answer)