How do you graph the system y<x5 and y3?

1 Answer
Jul 27, 2018


Please read the explanation.

Explanation:


We have the inequality: y=x5andy3

How do we graph this inequality ?

Note that, AND operator is used indicating intersection condition.

Hence, the region that is common for both sets of inequalities will indicate the required solution.

We can create a data table for both these inequalities separately as shown below:

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The values in the common region will be represented in the graph indicating the final solution.

Graph.1 for y=x5

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Dotted line indicates value not included in the solution.

Graph.2 for y3

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Solid line indicates the value being part of the solution.

Graph.3 for y=x5andy3

This is our final solution graph, as it accommodates the restriction used in the given inequity.

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Some of the points from the table (shaded values) are indicated in the solution graph below, for a better comprehension:

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This final graph indicates the common region between Graph.1 and Graph.2.

In Set Theory, we use the term intersection to refer to the common values between two sets of values.

Hope this explanation helps.