aaronoswald660 aaronoswald660
  • 22-09-2020
  • Mathematics
contestada

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

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Аноним Аноним
  • 22-09-2020

Hey there!

[tex]Answer:\boxed{r>1}[/tex]

[tex]-26+13r+2>2-13r[/tex]

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

[tex]13r-24>-13r+2[/tex]

Now add 13r to both sides of the inequality.

[tex]13r-24+13r>-13r+2+13r\\26r-24>2[/tex]

Now add 24 to both sides of the inequality.

[tex]26r-24+24>2+24\\26r>26[/tex]

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

[tex]\frac{26r}{26}>\frac{26}{26}\\ r>1[/tex]

[tex]\boxed{r>1}\text{ is your final answer.}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

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