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

Answer 1

Julia Adams

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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Answer 2

Avery Alexander

To solve the compound inequality (4b - 7 < 3 - b < 2b + 6), the solution is (b \in (-2, \frac{20}{7})).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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How do you solve the compound inequalities #4b - 7 &lt; 3 - b &lt; 2b + 6#?

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