This is a linear inequality, and the easiest way to solve it is to hypothetically start by turning it into an equation. For example in this case, instead of ">" let's use "="
Then, 4v + 8 = 6v + 10. To solve this, we group the like terms together on one side of the "=", such as 4v-6v=10-8, and when we solve for this, v=-1. This means that our original inequality would give an equality for v=-1.
Now, we need to see if our inequality would be true for values of v smaller and larger than -1.
Lets take a number smaller than -1 and plug it into our iniatial inequality.
Lets say v=-3 (smaller than -1). When replacing v with -3 in the inequality, we get: 4(-3)+8>6(-3)+10
-4>-8 This is a true expression, so we conclude that the inequality is true for all the values of v < -1.
Let's see what happens whith values larger than -1. Let's take v=1 (larger than -1). When we replace v with 1 in the inequality, we get: 4*1+8>6*1+10
12>16 This is a false expression, which means for all the v values larger than -1, the inequality is not true.
The answer then is v < -1.
ps. There are alternate ways of solving this, I thought this would be the easiest way to think of solving this logically. I hope it helps.