Solve the Inequality for v -7v+5>=-79

$- 7 v + 5 \geq - 79$

Move all terms not containing $v$ to the right side of the inequality.

Subtract $5$ from both sides of the inequality.

$- 7 v \geq - 79 - 5$

Subtract $5$ from $- 79$ .

$- 7 v \geq - 84$

Divide each term in $- 7 v \geq - 84$ by $- 7$ and simplify.

Divide each term in $- 7 v \geq - 84$ by $- 7$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 7 v}{- 7} \leq \frac{- 84}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 v}{- 7} \leq \frac{- 84}{- 7}$

Divide $v$ by $1$ .

$v \leq \frac{- 84}{- 7}$

Simplify the right side.

Divide $- 84$ by $- 7$ .

$v \leq 12$

The result can be shown in multiple forms.

Inequality Form:

$v \leq 12$

Interval Notation:

$(- \infty, 12]$

Solve the Inequality for v -7v+5>=-79

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