Respuesta :

The given inequality is

-3v - 14 > 3v + 16,

Add 3v on both side of the inequality

-3v -14 +3v > 3v +16 +3v

-3v +3v -14 > 3v + 3v + 16

0 - 14 > 6v + 16

Subtract 16 from both side of the equation,

-14 - 16 > 6v + 16 - 16

-30 > 6v + 0

Now subtract 6v from both side,

-30- 6v > 6v - 6v

-6v -30 > 0

Add 30 on both side,

-6v -30 + 30 > 30

-6v > 30

Divide both side by 6:

-6v/6 > 30/6

-v > 5

Multiply both side by (-1)

(-1) (-v) < (-1) 5

v < -5

Thus, v < -5

Answer : v < -5

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