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Cerrena [4.2K]
3 years ago
15

In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.

Mathematics
2 answers:
vovikov84 [41]3 years ago
4 0

Answer:

Step-by-step explanation:

Like this:

Nostrana [21]3 years ago
4 0

Answer:

-To draw the inequality graph, we draw a number line with value ranging from 0 to -4 towards the left side of the line

-Then we draw a line towards the right of the number line starting from -4 digit on the number line. We draw towards the right because the resulting inequality sign is greater than.

Explanations:

Given the inequality function

-3m+18<30

Before we can draw the graph, we need to find the value of m.

First we bring 18 to the other sides

-3m<30-18

-3m < 12

Dividing both sides by -3 we have;

-3m/-3>12/-3 (dividing both sides of an inequality with a negative sign changes the sense of the inequality sign)

m>-4.

-To draw the inequality graph, we draw a number line with value ranging from 0 to -4 towards the left side of the line

-Then we draw a line towards the right of the number line starting from -4 digit on the number line. We draw towards the right because the resulting inequality sign is greater than.

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See in the explanation

<h2>Explanation:</h2>

Hello! Recall that you need to write complete questions in order to get good and precise answers. However, I'll try to explain this problem in a general way. The definition of polynomial functions states:

A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0

Suppose we have the following polynomial function:

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If (x-3) is a factor of this polynomial function, we can write f(x) as:

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In whose case:

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Evaluating x=3

f(x)=x^3+x^2-8x-12 \\ \\ f(3)=3^3+3^2-8(3)-12 \\ \\ f(3)=27+9-24-12 \\ \\ f(3)=32-32 \\ \\ f(3)=0

So in conclusion:

(x-3) \ is \ a \ factor \ of \ f(x)=x^3+x^2-8x-12

The graph is shown below and is consistent with our conclusion.

<h2>Learn more:</h2>

Complex zeros: brainly.com/question/13728954

#LearWithBrainly

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Step-by-step explanation:

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