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In Mathematics / Middle School | 2014-04-24

Solve for \( b \).

\[ 7b + 11 > 9b - 13 \]

What is \( b \)?

Asked by Azalyn

Answer (2)

9b-13\ \ \ \ /-11\\\\7b+11-11 > 9b-13-11\\\\7b > 9b-24\ \ \ \ /-9b\\\\7b-9b > 9b-9b-24\\\\-2b > -24\ \ \ \ /:(-2) < 0\ then\ " > "\ change\ to\ "\ < "\\\\b < 12\\\\b\in(-\infty;\ 12)"> 7 b + 11 > 9 b − 13 / − 11 7 b + 11 − 11 > 9 b − 13 − 11 7 b > 9 b − 24 / − 9 b 7 b − 9 b > 9 b − 9 b − 24 − 2 b > − 24 / : ( − 2 ) < 0 t h e n " > " c han g e t o " < " b < 12 b ∈ ( − ∞ ; 12 )

Answered by Anonymous | 2024-06-10

The solution to the inequality 9b - 13"> 7 b + 11 > 9 b − 13 is b < 12 . This means that b can be any number less than 12.
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Answered by Anonymous | 2024-12-23