Solve the inequality for v.

3<= -10/7v + 19
Simplify your answer as much as possible.

1 answer

To solve the inequality for v, we can begin by isolating v on one side of the inequality.

First, subtract 19 from both sides of the inequality:

3 - 19 <= -10/7v

Simplifying, we have:

-16 <= -10/7v

Next, multiply both sides of the inequality by the reciprocal of -10/7, which is -7/10. It's important to note that when multiplying or dividing an inequality by a negative number, we need to reverse the inequality symbol.

(-16)*(-7/10) >= v

Simplifying the left side:

112/10 >= v

Further simplifying, we have:

56/5 >= v

Therefore, the solution to the inequality is v ≥ 56/5.