Respuesta :

Answer:

v > - 6

Step-by-step explanation:

13 + 2v - 8 + 6 > -7 - v (calculate the sum of difference)

= 11 + 2v>-7-v (move variable to the left-hand side and change its sign and move constant to the right-hand side and change its sign)

= 2v + v > - 7 - 11 (collect like items and calculate the difference)

= 3v>-18 (divide both sides of the inequality by 3)

=v > - 6

*in parentheses is written what to do to get the next number*

Hey there!

[tex]Answer:\boxed{v>-6}[/tex]

[tex]Explanation:[/tex]

[tex]13+2v-8+6>-7[/tex]

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

[tex]2v+11>-v-7[/tex]

Now add v to both sides.

[tex]2v+11+v>-v-7+v\\3v+11>-7[/tex]

Let's subtract 11 from both sides.

[tex]3v+11-11>-7-11\\3v>-18[/tex]

We finally move onto our last step! Divide both sides by 3.

[tex]\frac{3v}{3}>\frac{-18}{3}\\v>-6[/tex]

[tex]\boxed{v>-6}\text{ is your answer.}[/tex]

Hope this helps!

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