Solve the inequality for v.

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

3 answers

To solve the inequality for v, we need to isolate v on one side of the inequality.

We start by subtracting 19 from both sides of the inequality:
3 - 19 ≤ -10/7v
-16 ≤ -10/7v

Next, we can multiply both sides by 7 to eliminate the fraction:
-16 * 7 ≤ -10/7v * 7
-112 ≤ -10v

Finally, we divide both sides by -10, remembering to reverse the inequality because we are dividing by a negative number:
-112 / -10 ≥ -10v / -10
11.2 ≥ v

Therefore, the solution to the inequality is v ≤ 11.2.
Without a decimal
To solve the inequality for v, we need to isolate v on one side of the inequality.

We start by subtracting 19 from both sides of the inequality:
3 - 19 ≤ -10/7v
-16 ≤ -10/7v

Next, we can multiply both sides by 7 to eliminate the fraction:
-16 * 7 ≤ -10/7v * 7
-112 ≤ -10v

Finally, we divide both sides by -10, remembering to reverse the inequality because we are dividing by a negative number:
-112 / -10 ≥ -10v / -10
11.2 ≥ v

Therefore, the solution to the inequality is v ≤ 11.2.