Question

Which inequality is true when the value of c is −11?−c−4≤−3c-4≥3-c-4≤3c-4≤3

Answer 1

In order to find which inequality is true, let's use the value of c in each one and check if they are true or false:

$\begin{gathered} -c-4\le-3 \\ 11-4\le3 \\ 7\le-3\text{ (false)} \\ \\ c-4\ge3 \\ -11-4\ge3 \\ -15\ge3\text{ (false)} \\ \\ -c-4\le3 \\ 11-4\le3 \\ 7\le3\text{ (false)} \\ \\ c-4\le3 \\ -11-4\le3 \\ -15\le3\text{ (true)} \end{gathered}$

Therefore the correct option is the fourth one.