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Ben said the graph of the inequality
[tex] - x ^{2} + 9 > 0[/tex]
shows
the solution is x < -3 or x > 3. Is Ben correct? Explain.​

Respuesta :

calculista

Answer:

Ben is incorrect

The solutions are x>-3 and x < 3

Step-by-step explanation:

we have

[tex]-x^{2} +9 > 0[/tex]

Multiply by -1 both sides

[tex]x^{2} -9 < 0[/tex]

Adds 9 both sides

[tex]x^{2} < 9[/tex]

The solutions are

[tex]x < 3[/tex]

and

[tex]-x < 3[/tex] -----> Multiply by -1 both sides ----> [tex]x > -3[/tex]

therefore

The solution is the interval (-3,3)

Ben is incorrect

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