How do you solve the compound inequalities $4b - 7 < 3 - b < 2b + 6$ ?

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Answer 1 · 2015-06-09T05:04:02

Solve compound inequality:
4b - 7 < 3 - b < 2b + 6

a. 4b - 7 < 3 - b
5b < 3 + 7 -> 5b < 10 --> b < 2

b. 3 - b < 2b + 6
-3b < 6 - 3 -->-3b < 3 --> b > -1

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How do you solve the compound inequalities 4b - 7 < 3 - b < 2b + 64b - 7 < 3 - b < 2b + 6?