Given the linear inequality 4 y < 3 x − 2 4y<3x-2 , determine if the following ordered pair is a solution to the inequality. ( 0 , − 2 ) (0,-2)

This problem says, given the linear inequality 4y is less than 3x minus two, determine if the following ordered pair is a solution to the inequality. Now I know my ordered pairs are in the form So let's go ahead and test this in the inequality above. So I'm going to take my y and replace it with negative two. That's going to be less than three times zero minus two. Now four times negative two is negative eight. That's gonna be less than three times zero, which is zero, minus two gives me negative two. Is negative eight less than negative two? Well, you have to be careful here because the answer is yes, this negative eight is less than negative two. Now you might have gotten confused by this and said, well, wait a minute. Isn't eight a bigger number than two? Well, yes. It is. But notice it's a less negative number. If I owed someone $$8, I would have less money than if I just owed someone 2. So in $$this case, negative eight is the big is the, more negative number. It's the the more negative, meaning it's the lesser number. So in this case, we would say, yes. The ordered pair is a solution to the inequality. This is in fact a true statement.

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Multiple Choice

Given the linear inequality $4 y is less than 3 x minus 2$ , determine if the following ordered pair is a solution to the inequality.
$open paren 0 comma negative 2 close paren$

Yes

Cannot be determined

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Verified step by step guidance

Start with the given inequality: $4y < 3x - 2$.

Substitute the coordinates of the ordered pair $(0, -2)$ into the inequality, replacing $x$ with $0$ and $y$ with $-2$.

This gives the inequality: $4(-2) < 3(0) - 2$.

Simplify both sides: calculate $4 \times (-2)$ and $3 \times 0 - 2$ separately.

Compare the simplified left side and right side to check if the inequality holds true. If it does, the ordered pair is a solution; if not, it is not.

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Given the linear inequality $4 y is less than 3 x minus 2$ , determine if the following ordered pair is a solution to the inequality.
$open paren 0 comma negative 2 close paren$