SOLUTION: Solve the quadratic inequality. Write the solution set in interval notation. Show the complete solution.
𝑥2+9𝑥+13>−7
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-> SOLUTION: Solve the quadratic inequality. Write the solution set in interval notation. Show the complete solution.
𝑥2+9𝑥+13>−7
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Question 1087722: Solve the quadratic inequality. Write the solution set in interval notation. Show the complete solution.
𝑥2+9𝑥+13>−7 Answer by ikleyn(52777) (Show Source):
Add 7 to both side. You will get an equivalent inequality
> 0.
Factor left side. You will get an equivalent inequality
(x+5)*(x+4) > 0, or, which is the same (x-(-5))*(x-(-4)) > 0.
The solution is the set { x < -5 } U { x > -4 }, or,
in the interval form (,) U (,).
