According to my understanding, we should put a slack variable to equate an inequality constraint by inserting the slack variable in the side that is less than the other side. For example, if we have $4x+2<2$ this will be $4x+2+\text{slack_variable}=2$.
But in the example section of the Slack Variable Wikipedia, it says the following:
By introducing the slack variable $y\ge0$, the inequality $Ax\le b$ can be converted to the equation $y-Ax+b = 0$.
Which means that the slack variable is inserted on the bigger side! Please someone explain this confusion.