Mouse cursor position relative to the object

I can not figure out the way to calculate how the mouse cursor corresponds with the object center in 2D sceen plane.
To be more clear, I need to calculate if the cursor is more to the left or to the right relatively to the center of the object.

using UnityEngine;

public class test3 : MonoBehaviour
	void Update(){

		Vector2 mouse = new Vector2(Input.mousePosition.x,Input.mousePosition.y);
		Ray ray;
		ray = Camera.main.ScreenPointToRay(mouse);
		RaycastHit hit;
		if(Physics.Raycast(ray,out hit, 10))
			if(hit.point.x < transform.position.x)

Well, this is what I did to find the distance between them for x and y:

    public Camera camera;
public Transform obj;

Vector2 objPos;
Vector2 mousePos;
float mousePosY, mousePosX;
void Update () 
	objPos = obj.transform.position;//gets player position
	mousePos = Input.mousePosition;//gets mouse postion
	mousePos = camera.ScreenToWorldPoint (mousePos);
	mousePosX = mousePos.x - objPos.x;//gets the distance between object and mouse position for x
	mousePosY = mousePos.y - objPos.y;//gets the distance between object and mouse position for y  if you want this.


you wont need the y for this situation, but I thought I might as well show that too.
I’m not going to tell you how to implement it into an if statement, I’m sure you can handle it.
Hope this helps, and works.