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(52778)   (Show Source): You can put this solution on YOUR website!
.
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 (,).

Solved.


If you want to learn on how to solve quadratic inequalities, read the lesson
    - Solving problems on quadratic inequalities
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Inequalities".



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