Answer
$x \lt 4$
Work Step by Step
$5(x+2) \lt 6(9-x)$
$5x + 10 \lt 54 - 6x$
$5x + 6x + 10 - 54 \lt 0$
$11x - 44 \lt 0$
$11x \lt 44$
$x \lt 4$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/3abe7619-4152-4d28-ad16-6f82e01f18f3/steps_image/small_1496628376.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014304Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=13e89cf20f0d33d391e4e7cdc3a29e3920326eff7428e137798ce3fda69310d3)
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.