Weekly Math Problem #66

Quadratic Inequality. I checked my blog and saw that I have not done a quadratic inequality yet...so, here we are. 🙂 In WMP #31, I solved an absolute value inequality. Make sure to check it out. 😉

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     Methods to solve a quadratic equation
        ✔️     Evaluating an expression
        ✔️     How to test an expression in an inequality

     

WMP! #66 wants us to...

Happy solving!

Check back on Saturday, December 4th for the solution, which will be posted below ⬇️.

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✏️📓 Solution Time! 📓✏️

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I got started solving this week's problem by converting the inequality to an equation. I then solved the resulting quadratic equation by using the AC method for factoring. This process requires factoring by grouping.

Now that I have values for x, I continue to solve the original inequality by considering the three regions of the number line that the values create--the region to the left of 2/9, the region between 2/9 and 3, and the region to the right of 3. I then choose a value in each region to test in the original inequality. If the result of the tested value is greater than zero, that region is part of my solution. If the result of the tested value is less than zero, that region is not part of my solution.

According to the tested results, my solution is as follows:

...And that's a wrap! 

▪️ Were you able to solve this inequality??

▪️ Let me know what you thought about this week's problem in the comments section. 

Thanks for solving with me this week!
WMP! #67 is up next. 👩🏿‍🏫

Cheers!

The Younge Lady