Question

Solve the compound inequality and graph the solutions.2x + 6<6The solutions to the compound inequality are

Answer 1

To solve a compound inequality, we need to proceed as if it were a simple inequality but this time we need to make the operations to both parts of the expression, this way:

`\begin{gathered} 2\le x+6<6 \\ 2-6\le x+6-6<6-6 \\ -4\le x<0 \end{gathered}`

It means that the set of solutions is:

`\lbrack-4,0)`

In the number line, it would be: