+14 Find the greatest whole number that will satisfy this inequality: .\(4x-3 < 2 - x \)
+195 We want to find the largest whole number satisfying the inequality 4x−3<2−x. Here's how we can solve it:
Add x to both sides: 4x<5−x
Add 3 to both sides: 5x<8
Divide both sides by 5: x<8/5
Since we want the greatest whole number, we discard any non-integer solutions and consider the largest integer less than 8/5 which is 1.
Therefore, the greatest whole number that satisfies the inequality is 1.
