SOLUTION: Hello, how do I solve and graph {{{ 9x^2 + 31x <= -12}}} ? Thanks

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Question 777419: Hello, how do I solve and graph +9x%5E2+%2B+31x+%3C=+-12 ?
Thanks
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Step 1: Factor and solve the quadratic:

Step 2: Plot the two zeros on the x-axis

Step 3: Note that the two zeros effectively divide the x-axis into three regions, smaller than the smaller zero, between the two zeros, and larger than the larger zero. Pick a value from each of the three regions that is NOT one of the zeros and determine the truth value of the given relation for each of the selected values. The interval or intervals where the relation is true is the solution set of your equation. Remember to include the endpoints in your statement and graph of the solution set because the relational operator is inclusive of equals.

John

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