Solve v+68/-6>v+23/-3

$$\frac { v + 68 } { - 6 } > \frac { v + 23 } { - 3 }$$

Solve for v

$$v>22$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of -6,-3. Since 6 is positive, the inequality direction remains the same.

$$-\left(v+68\right)>-2\left(v+23\right)$$

To find the opposite of v+68, find the opposite of each term.

$$-v-68>-2\left(v+23\right)$$

Use the distributive property to multiply -2 by v+23.

$$-v-68>-2v-46$$

Add 2v to both sides.

$$-v-68+2v>-46$$

Combine -v and 2v to get v.

$$v-68>-46$$

Add 68 to both sides.

$$v>-46+68$$

Add -46 and 68 to get 22.

$$v>22$$