Solve each inequality in Exercises 86–91 using a graphing utility...

Question

Solve each inequality in Exercises 86–91 using a graphing utility.

x^3 + x^2 - 4x - 4 > 0

Accepted Answer

Hey everyone here we are asked to use a graphing utility to solve the inequality of X cubed plus five, X squared minus two, X minus 24 is greater than zero. So here to graph it, you just have to set y equal to the expression. So we have Y is equal to X cubed plus five X squared minus two X minus 24. And after graphing we can see the solution to the inequality. So looking at the graph, we want to see each place where the expression is above the X axis or where it is greater than zero. So in this case we can see that there is an arc here above the X axis from negative four to negative three. So one of our solutions is negative four to negative three enclosed by parentheses because it cannot be equal to zero. And so next we can see that from two to infinity. The expression is also greater than zero. So that is our next solution to to infinity. Again to is not included because it cannot be equal to zero. So therefore that is our final solution here, which is choice a negative four to negative three and two to positive infinity. Thanks for watching. I hope you found this video helpful and I'll see you again next time

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

Solve each inequality in Exercises 86–91 using a graphing utility. x^3 + x^2 - 4x - 4 > 0