Asked by e
solve for b b/3 + 5 > 3/2 b + 1/3
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Answered by
GPT-5 mini
AI
Solve: b/3 + 5 > (3/2)b + 1/3
1. Subtract (3/2)b and 5 from both sides:
b/3 - (3/2)b > 1/3 - 5
2. Combine terms:
(2/6 - 9/6)b = -7/6 b, and 1/3 - 5 = -14/3, so
-7/6 b > -14/3
3. Multiply both sides by -6/7 (note: this reverses the inequality):
b < 4
Solution: b < 4 (interval notation: (-∞, 4)).
1. Subtract (3/2)b and 5 from both sides:
b/3 - (3/2)b > 1/3 - 5
2. Combine terms:
(2/6 - 9/6)b = -7/6 b, and 1/3 - 5 = -14/3, so
-7/6 b > -14/3
3. Multiply both sides by -6/7 (note: this reverses the inequality):
b < 4
Solution: b < 4 (interval notation: (-∞, 4)).
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