Question

solve the following inequality for ( v ). write your answer in simplest form.
( -4v + 5 geq 10v + 4 )

Explanation:

Step1: Isolate variable terms

Add $4v$ to both sides.
$-4v + 5 + 4v \geq 10v + 4 + 4v$
$5 \geq 14v + 4$

Step2: Isolate constant terms

Subtract 4 from both sides.
$5 - 4 \geq 14v + 4 - 4$
$1 \geq 14v$

Step3: Solve for $v$

Divide both sides by 14.
$\frac{1}{14} \geq v$

Answer:

$v \leq \frac{1}{14}$