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6b-7<-13 and 2b-4<14

1 Answer

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Final answer:

To solve the system of inequalities, first solve each inequality separately, and then combine the solutions.

Step-by-step explanation:

To solve the system of inequalities,

  1. Solve the first inequality:
    6b - 7 < -13
    Add 7 to both sides:
    6b < -6
    Divide both sides by 6:
    b < -1
  2. Solve the second inequality:
    2b - 4 < 14
    Add 4 to both sides:
    2b < 18
    Divide both sides by 2:
    b < 9

The solution to the system of inequalities is:
-1 < b < 9

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