Respuesta :

First, let's write the expression below:

[tex]4b-2c\leqslant12[/tex]

Since the expression contains the symbol "<=" (that is, "lesser than or equal to") between two terms, the complete expression is an inequality.

In order to solve this inequality for a given variable, we need to rewrite the inequality such as one side of the inequality has only the wanted variable.

For example, solving the inequality for b, we have:

[tex]\begin{gathered} 4b-2c\leqslant12\\ \\ 4b\leq12+2c\\ \\ b\leq\frac{12+2c}{4}\\ \\ b\leq3+0.5c \end{gathered}[/tex]