Question

Solve the following inequality for x.
-26 + 13r + 2 > 2 – 13r

Answer 1

Hey there!

`Answer:\boxed{r>1}`

`-26+13r+2>2-13r`

Let's start by simplifying both sides of the inequality.

`13r-24>-13r+2`

Now add 13r to both sides of the inequality.

`13r-24+13r>-13r+2+13r\\26r-24>2`

Now add 24 to both sides of the inequality.

`26r-24+24>2+24\\26r>26`

In our fourth/last step, we will divide both sides of the inequality by 26.

`(26r)/(26)>(26)/(26)\\ r>1`

`\boxed{r>1}\text{ is your final answer.}`

Hope this helps!

`\text{-TestedHyperr}`