SOLUTION: How do you solve the inequality x^2+6x <= -8

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Question 1031398: How do you solve the inequality x^2+6x <= -8
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


First, solve the analogous equation:





So or

Note that the two roots of the equation divide the -axis into three regions: and

Choose a value from the interior of each of the three intervals, -5, -3, and 0 should do nicely.

Evaluate for each of the three selected values. One result is less than -8. The interval from which this value was taken is the solution set of the original inequality. Remember to make both endpoints inclusive because of the in the original inequality.

Use a graphing calculator to check the validity of your result. If you graph a portion of the curve should be below the x-axis. The endpoints of this portion of the curve are the endpoints of your solution set interval.



John

My calculator said it, I believe it, that settles it