Solve for 18. will give brainliest to first answer

v > -1

Step-by-step explanation:

1/3(v-2) < v

Multiply both sides by 3(from 1/3) to equalize both sides.

This is equal to:

v-2 < 3v

Simplify equation:

v-2 < 3v =

-2 < 3v - v =

-2 < 2v

-1 < v

Swap sides:

v > -1

Therefore v is greater than -1.

v > -1

Step-by-step explanation:

Simplify the left side.

Apply the distributive property.

13v+13⋅−2<v

Combine 13 and v

v3+13⋅−2<v

Combine 13 and −2

v3+−23<v

Move the negative in front of the fraction.

v3−23<v

Move all terms containing v to the left side of the inequality.

Subtract v from both sides of the inequality.

v3−23−v<0

Simplify the left side of the inequality.

−2(v+1)3<0

Multiply each term in −2(v+1)3<0 by −1

2(v+1)3>0

Multiply both sides of the equation by 3

2(v+1)>0⋅(3)

and again Simplify the left side.

Apply the distributive property.

2v+2⋅1>0⋅(3)

Multiply 2 by 1

2v+2>0⋅(3)

Multiply 0 by 3

2v+2>0

Subtract 2 from both sides of the inequality.

2v>−2

Divide each term by 2 and simplify.

Getting the conclusion where V is greater than 1

v>−1

Hope this helps

the first option is the answer.