Answer
$z \gt 2$ or $z \lt -1$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/12941241-aff1-469c-8cfd-d3881d363631/result_image/1596629100.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001207Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=560131fa498484c852bb1d25c17802c26c84a85df28b8fb2c2ed30bdd15848b3)
Work Step by Step
Given: $5z-3 \gt 7 $ or $4z-6\lt-10$
$5z \gt 10$ or $4z \lt -4$
$z \gt 2$ or $z \lt -1$
The solutions as a single inequality are:
$z \gt 2$ or $z \lt -1$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/12941241-aff1-469c-8cfd-d3881d363631/steps_image/small_1596629100.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001207Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=7dea470548cdc02754dc10752037d0a4cf89cd9cea85b8e31208cc61c8420584)
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