Answered

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Solve the inequality for [tex]v[/tex].

[tex]\[ -13 - 4v \ \textgreater \ 7 \][/tex]

Simplify your answer as much as possible.

Sagot :

GinnyAnswer
To solve the inequality \( -13 - 4v > 7 \) for \( v \), follow these steps:

1. Isolate the term with \( v \):
– Start by adding 13 to both sides of the inequality to isolate the term involving \( v \):

[tex]\[ -13 - 4v + 13 > 7 + 13 \][/tex]

Simplifying both sides gives:

[tex]\[ -4v > 20 \][/tex]

2. Solve for \( v \):
– Next, divide both sides of the inequality by -4 to solve for \( v \). Remember, dividing both sides of an inequality by a negative number reverses the inequality sign:

[tex]\[ v < \frac{20}{-4} \][/tex]

Simplifying the right-hand side gives:

[tex]\[ v < -5 \][/tex]

Thus, the solution to the inequality \( -13 - 4v > 7 \) is:

[tex]\[ v < -5 \][/tex]
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