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

 Dec 13, 2023
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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.

 Dec 13, 2023

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