Solve the inequality for v.

Question

3≤ -10/7v + 19
Simplify your answer as much as possible

Answer 1

To solve the inequality, we will isolate the variable v. Here's the step-by-step solution:

1. Subtract 19 from both sides of the inequality:
3 - 19 ≤ -10/7v
-16 ≤ -10/7v

2. Multiply both sides of the inequality by -7/10 (we flip the inequality sign when multiplying/dividing by a negative number):
-16 * (-7/10) ≥ -10/7v * (-7/10)
112/10 ≥ 10/7v

3. Simplify both sides of the inequality:
112/10 ≥ v

4. Divide both sides of the inequality by 112/10 or 11.2:
v ≤ 112/10 or v ≤ 11.2

Therefore, the solution to the inequality 3 ≤ -10/7v + 19 is v ≤ 11.2.