Question

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

Answer 1

`\begin{gathered} 30b+53\ge18b-83 \\ \text{Collect like terms} \\ 30b-18b\ge-83-53 \\ 12b\ge-136 \\ b\ge(-136)/(12) \\ b\ge11.3333\ldots \\ \end{gathered}`

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