How do you solve this? Absolute value and inequalities

[From: ] [author: ] [Date: 11-09-28] [Hit: ]

-5 + 7 |1 - 3b| > 114

i'm a little confused on how to do this step by step. can anyone help? thanks!

−5 + 7|1−3b| > 114
7|1−3b| > 119
|1−3b| > 17
1−3b < −17 or 1−3b > 17
−3b < −18 or −3b > 16
b > 6 or b < −5⅓.

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