Question

which value of k makes the inequality 11+2k>19 true?

Answer 1

Answer:

k>4

Explanation:

Given the inequality

$11+2k>19$

First, subtract 11 from both sides.

$\begin{gathered} 11-11+2k>19-11 \\ 2k>8 \end{gathered}$

Next, divide both sides by 2

$\begin{gathered} \frac{2k}{2}>\frac{8}{2} \\ k>4 \end{gathered}$

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:

$(4,\infty)$