We want to solve and graph the following inequality
[tex]-11>-\frac{c}{11}[/tex]
We can start by multiplying both sides by (- 1). When we multiply an inequality by a negative number, the sign "changes its side", then we have
[tex]\begin{gathered} -11>-\frac{c}{11} \\ (-1)\times-11<(-1)\times-\frac{c}{11} \\ 11<\frac{c}{11} \end{gathered}[/tex]
Now, we just need to multiply both sides by 11.
[tex]\begin{gathered} 11\times11<\frac{c}{11}\times11 \\ 121And this is the solution for the inequality.
To graph this inequality, we just need to mark the point 121, and the possible values for c will be all the numbers bigger than 121.
