Answer
See below
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e9c4e221-2b56-448f-8d67-22fce2f37ee6/result_image/1625573996.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001028Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=92e269bbe4eb563524526789c0be025eaf61ba045852e6a0bf0cf1f5d0f6e628)
Work Step by Step
Given: $\frac{3x+2}{x-1}\gt x$
Graph the functions.
Hence, the solution is $x \in (-5,\infty)$.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e9c4e221-2b56-448f-8d67-22fce2f37ee6/steps_image/small_1625573996.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001028Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=50a147602b10ce7aa53840b41bd92170558a91d3e45b9a973c3853538451d466)
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