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: