Question

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

Answer 1

k>4

Step-by-step 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} (2k)/(2)>(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)`