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Description:

Math Algebra I: Drill 5, Problem 4. The following graph represents the solution set to which of the following systems of inequalities in two variables?

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Transcript

00:03

Here's another shmoop du jour.

00:04

The following graph represents the solution set to which of the following systems of inequalities in two variables?

00:11

Here are the potential answers…

00:17

Ok sooo… what in the world is a solution set, first of all?

00:21

Well, it’s the set of all points that answers a given equation.

00:25

Like… if the inequalty was “x is greater than 0,” then the whole right side of a

00:29

graph would be shaded in like this…

00:31

From the graph, we can see that one line is dotted, while the other is solid.

00:35

We know that a “less than” or “greater than” inequality without the “equals to”

00:40

signifies a dotted line…

00:42

…and that a “less than or equal to” and a “greater than or equal to” inequality

00:45

signifies a solid line.

00:48

So, because we have one of each in our graph, we know our answer solution has to have one

00:52

inequality with an equals sign and one without.

00:56

We can immediately eliminate A and D.

00:58

The dotted line has the equation y equals -x + 3, and in the graph, the shaded region

01:04

is above this line.

01:06

So we know the inequality must be “y is GREATER THAN negative x plus 3.”

01:10

Only B has this inequality, and we're good.

01:14

That's it. Answer B.

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