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Solve the inequality 1/4b−1/5b>3/10b−1/2 and write the solution in interval notation.

User Necreaux
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Answer: To solve the inequality 1/4b−1/5b > 3/10b−1/2, we need to simplify both sides:

1/4b - 1/5b > 3/10b - 1/2

5/20b > 7/20b

Then we isolate b by subtracting 7/20b from both sides:

-2/20b > -7/20

Finally, we divide both sides by -2/20 to get:

b < 35/2

The solution in interval notation is (-∞, 35/2).

Explanation:

User Criss Anger
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