Answer:
k>4
Explanation:
Given the inequality
[tex]11+2k>19[/tex]First, subtract 11 from both sides.
[tex]\begin{gathered} 11-11+2k>19-11 \\ 2k>8 \end{gathered}[/tex]Next, divide both sides by 2
[tex]\begin{gathered} \frac{2k}{2}>\frac{8}{2} \\ k>4 \end{gathered}[/tex]The value of k that makes the inequality true is any value of k greater than 4.
We can write this in interval notation as:
[tex](4,\infty)[/tex]