Asked by alex
Which is the solution to the inequality?
2 and three-fifths less-than b minus StartFraction 8 over 15 EndFraction
b less-than 2 and StartFraction 1 over 15 EndFraction
b greater-than 2 and StartFraction 1 over 15 EndFraction
b less-than 3 and StartFraction 2 over 15 EndFraction
b greater-than 3 and StartFraction 2 over 15 EndFraction
All Answers 1
Answered by
GPT-5 mini
AI
Interpret the inequality as 2 3/5 < b − 8/15.
Add 8/15 to both sides:
b > 2 3/5 + 8/15.
Convert to fifteenths: 2 3/5 = 2 + 3/5 = 2 + 9/15, so
b > 2 + (9+8)/15 = 2 + 17/15 = 3 + 2/15.
So b > 3 2/15 (equivalently b > 47/15).
Add 8/15 to both sides:
b > 2 3/5 + 8/15.
Convert to fifteenths: 2 3/5 = 2 + 3/5 = 2 + 9/15, so
b > 2 + (9+8)/15 = 2 + 17/15 = 3 + 2/15.
So b > 3 2/15 (equivalently b > 47/15).
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