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Mama L [17]
3 years ago
11

Solve the following inequality.

Mathematics
1 answer:
Luden [163]3 years ago
7 0
First simplify.
-\frac{2}{3}x \ \textgreater \  \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  -\frac{2x}{3}

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \  \frac{2x}{3}\ \textless \ -8

\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \  \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \  Simplify \ \textgreater \  2x\ \textless \ -24

\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \  \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \  Simplify \ \textgreater \  x\ \textless \ -12

Therefore\; x\ \textless \ -12 \;is\;our\;answer!

Hope this helps!
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The domain of the function is [-4, 4) and the range of the function is [-5, 2)

<h3>How to determine the domain and the range of the function?</h3>

<u>The domain</u>

As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.

This means that the domain is the set of x values

From the graph, we have the following intervals on the x-axis

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This means that the domain of the function is [-4, 4)

<u>The range</u>

As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.

This means that the range is the set of y values

From the graph, we have the following intervals on the y-axis

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Help with these equations please!
soldi70 [24.7K]
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Step-by-step explanation:

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If you want to solve this by using equation the this would look like this:

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4 0
3 years ago
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