1. Determine the parameter $b$ so that the linear function $3 x+(b-2) y+6=0$ is increasing.

保留了源文本的换行和格式。请注意，这里的翻译假设了数学表达式不需要更改，因为它们是通用的，不依赖于特定的语言。
1. Parameter $b$ must not be equal to 2, otherwise the expression $3 x+(b-2) y+6=0$ does not represent a function. For $b \neq 2$, the equation of the line can be written in explicit form: $y=\frac{-3}{b-2} x-\frac{6}{b-2}$. A linear function is increasing if the slope is positive: $\frac{-3}{b-2}>0$. The numerator of the fraction $\frac{-3}{b-2}$ is negative, so the value of the fraction will be positive if the denominator is negative, that is $b-2<0$ 1 point

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Correct solving of the inequality ....................................................................................................................

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