Question

Is 4b-2c leqslant 12 inequalities or not inequalities
`ax+by \leqslant c`

Answer 1

First, let's write the expression below:

`4b-2c\leqslant12`

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:

`\begin{gathered} 4b-2c\leqslant12\\ \\ 4b\leq12+2c\\ \\ b\leq(12+2c)/(4)\\ \\ b\leq3+0.5c \end{gathered}`