give an exact answer in simplified form 30 b + 53 is greater than or equal to 18 b - 83

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02-11-2022
Mathematics

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give an exact answer in simplified form 30 b + 53 is greater than or equal to 18 b - 83

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DontaiH605429idn DontaiH605429idn · Answer 1 · 2022-11-02T23:39:33-04:00

DontaiH605429idn DontaiH605429idn

02-11-2022

[tex]\begin{gathered} 30b+53\ge18b-83 \\ \text{Collect like terms} \\ 30b-18b\ge-83-53 \\ 12b\ge-136 \\ b\ge\frac{-136}{12} \\ b\ge11.3333\ldots \\ \end{gathered}[/tex]

Since b is greater than and at the same time equal to 11.3333, then in simpler terms, b = 12 (greater than 11.3333)

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