Solve the inequality for v.
3(3v+9) > 7v + 17
Simplify your answer as much as possible.
9v + 27 > 7v + 17
Subtract 7v from both sides:
9v - 7v + 27 > 17
Combine like terms:
2v + 27 > 17
Subtract 27 from both sides:
2v + 27 - 27 > 17 - 27
Simplify:
2v > -10
Divide both sides by 2:
2v/2 > -10/2
Simplify:
v > -5
So the solution to the inequality is v > -5.
To solve the inequality 3(3v+9) > 7v + 17, we need to simplify and isolate the variable v.
Step 1: Distribute the 3 on the left side of the inequality:
9v + 27 > 7v + 17
Step 2: Rearrange the terms so that the variable terms are on one side and the constant terms are on the other side:
9v - 7v > 17 - 27
Step 3: Combine like terms:
2v > -10
Step 4: Divide both sides of the inequality by 2 to isolate the variable v:
v > -10/2
Step 5: Simplify the expression:
v > -5
In conclusion, the solution to the inequality 3(3v+9) > 7v + 17 is v > -5.
To solve the inequality 3(3v+9) > 7v + 17, we need to follow a series of steps to isolate the variable v.
Step 1: Distribute the 3 on the left side of the inequality:
9v + 27 > 7v + 17
Step 2: Combine like terms on both sides of the inequality:
9v - 7v > 17 - 27
2v > -10
Step 3: Divide both sides of the inequality by 2 to isolate v:
v > -10/2
v > -5
Therefore, the solution to the inequality 3(3v+9) > 7v + 17 is v > -5.