Find the greatest whole number that will satisfy this inequality: .\(4x-3 < 2 - x \)

Ayobruh Dec 13, 2023

#1**0 **

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.

Boseo Dec 13, 2023