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Studentka2010 [4]
4 years ago
10

The inequality x^2-14x>15 is equivalent to:

Mathematics
1 answer:
Anit [1.1K]4 years ago
7 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x^2 - 14x > 15

x^2 - 15x - 15 > 0

(x + 1)(x -15) > 0


<em>If we take a stance and say BOTH POSITIVE, we see</em>

<em>x > -1  OR  x > 15</em>

<span><em>In this case </em><em>x > 15</em><em> is the dominating factor...</em></span>

<span><em>
</em></span>

<em>If we take a stance and say BOTH NEGATIVE, we see...</em>

<em>x < -1  OR  x < 15</em>

<span><em>In this case </em><em>x < -1</em><em> is the dominating factor...</em></span>

<span><em>
</em></span>

<em>Now combine the 2 proven factors, we get...</em>

<em>x < -1 OR x > 15</em>


So...

The answer is: D.) x<-1 or x>15

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