Answer:
[tex] \large \boxed{v > - 1}[/tex]
Step-by-step explanation:
Given the Inequality:
[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]
Step 1
- Multiply the fraction or 1/3 in the expression.
[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]
Step 2
- Multiply the whole Inequality by 3 to get rid of the denominator.
[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]
Step 3
- Solve the Inequality for v-term by making v as the subject.
[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]
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