Find the greatest whole number that will satisfy this inequality: $4x-3 < 2 - x $.
To find the greatest whole number that satisfies the inequality, I want to isolate x on one side of the inequality and see what the other side looks like. To do that, I can start by adding x to both sides, which gives me $5x - 3 < 2$. Next, I can add 3 to both sides, which gives me $5x < 5$. Now, I can divide both sides by 5, which gives me $x < 1$. This means that any value of x that is less than 1 will make the inequality true, but I want the greatest whole number that does that. The greatest whole number that is less than 1 is 0, so that is my answer. 