209k views
4 votes
Ben said the graph of the inequality


- x ^(2) + 9 > 0
shows
the solution is x < -3 or x > 3. Is Ben correct? Explain.​

User Eryc
by
8.3k points

1 Answer

6 votes

Answer:

Ben is incorrect

The solutions are x>-3 and x < 3

Explanation:

we have


-x^(2) +9 > 0

Multiply by -1 both sides


x^(2) -9 < 0

Adds 9 both sides


x^(2) < 9

The solutions are


x < 3

and


-x < 3 -----> Multiply by -1 both sides ---->
x > -3

therefore

The solution is the interval (-3,3)

Ben is incorrect

User FranticRock
by
7.1k points

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