What is the greatest whole number value that makes the inequality $4x + 4 <= 12$ true?

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Answer 1 · 2018-03-03T15:24:08

$x=2$

We have: $4x+4<=12$

Subtracting $4$ from both sides, we get

$4x<=12-4$

$4x<=8$

Now, we can divide by $4$ on both sides, so we get

$x<=8/4$

$x<=2$

That means, $x$ can be any number that is less or equal to $2$ , such as $-1,0,1,2$ to name a few.

We want to find the greatest value, and that values occurs at $x=2$ .

So, the answer will be $x=2$ .

What is the greatest whole number value that makes the inequality 4x + 4 <= 124x + 4 <= 12 true?