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Anastaziya [24]
4 years ago
13

Which graph shows the solution set of x^2+4x-12/x>0?

Mathematics
2 answers:
ExtremeBDS [4]4 years ago
6 0

Answer:

D

Step-by-step explanation:

Consider the inequality

\dfrac{x^2+4x-12}{x}>0

First, factor the numerator:

x^2+4x-12=x^2+6x-2x-12=x(x+6)-2(x+6)=(x+6)(x-2)

Now, the inequality is

\dfrac{(x+6)(x-2)}{x}>0

The equivalent inequality is

x(x+6)(x-2)>0

On the number line plot doted points -6, 0 and 2 and put signs +, -, +, - from the right to the left. Intervals with + signs are the solution of the inequality:

x\in(-6,0)\cup(2,\infty)

that is represented by D number line.

postnew [5]4 years ago
6 0

Answer:

D

Step-by-step explanation:

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