What are the solutions to vx>3?

Question

I need help with this i don't understand any of this stuff i don't know what a solution is I'd appreciate if someone would help me.           

Answer 1

What are the solutions to vx>3?

The first thing to keep in mind with this problem is that the answer is dependent on the value of "v". There are three possibilities: v=0, v<0, and v>0.

1. For v=0, this gives us (0)x>3, or 0>3. Of course this can never be true, so this inequality has no solution for v=0.
2. For v<0, we get (-v)x<3. We need to divide each side by -v to isolate the variable x. Remember, when we divide an inequality by an negative number, we must flip the sign. So we get x>-3/v for any value of v<0.
3. For v>0, we have the original problem v(x)<3. Dividing by v to isolate the variable gives us x<3/v. So for any value of x>0, we get x<3/v.

So in summary, solving the inequality vx<3 gives us the following answers:

1. No solution for v=0
2. x>-3/v for v<0
3. x<3/v for v>0