Explain why you can use a test point to determine which region or regions of the graph of an inequality should be shaded.

2 answers:

5 0

A curve divides a plane into two areas, one satisfying the inequality (shaded) and one that does not (unshaded). So we can pick a point on either side (not on the curve itself) and substitute its x- and y-coordinates into the inequality. If the substituted values make the inequality true, then that point is in the shaded area. Otherwise, that point is in the unshaded area.

r-ruslan [8.4K]3 years ago

3 0

<h2>Answer with explanation:</h2>

We should use a test point to determine the region or regions of the graph of an inequality should be shaded because by plotting an inequality the graph is divided into two regions : one which lie in feasible region and the other does not .

Now in order to check the feasible region we start by taking a test point and see whether it makes the inequality true or not.

If it does not makes the inequality true then that region is not shaded and other is shaded.

If it satisfy the inequality then the region containing that point is shaded.

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5 0

3 years ago

Read 2 more answers

Please help, math question.

Veseljchak [2.6K]

Part a)
Identify the variable and categories

By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below