How do you graph the inequality #3x – 4y<-12#?

Answer 1

Isolate the y variable, then graph the inequality.

To graph the following inequality, you're going to want to isolate the y variable and then graph it.

First, in order to isolate the y variable, you have to move the x variable to the other side of the inequality.

#-4y<-3x-12#

Since you want to get the y variable by itself, you need to divide the inequality by negative four. Since you are dividing the inequality by a negative number, the inequality sign flips.

#y>3/4x+3#

Lastly, all you need to do is graph the inequality. Values on the line itself are not included, so a dotted line is used. Any point above the line is a valid solution.

graph{y>3/4x+3 [-10, 10, -5.04, 4.96]}

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Answer 2

To graph the inequality (3x - 4y < -12), first graph the boundary line (3x - 4y = -12) as a dashed line because the inequality is strict ((<)). Then, choose a test point not on the boundary line, such as the origin (0,0), and shade the region that satisfies the inequality.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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