Again, the word document was rejected, so I am leaving a link to a Google Docs with my work and answers.
Fall 2018 | Professor Kate Poirier
Again, the word document was rejected, so I am leaving a link to a Google Docs with my work and answers.
I tried uploading a word document, but it didn’t work, so I just will link the Google Doc which has the test.
Question: “|7x-3| ≥ 10”
First, we need to figure out the solution to the following equations to discover the endpoints of the interval(s):
7x -3 = 10 and -(7x-3) = 10
Second, we need to test each interval created on the number line with test points that exists between each interval to see if the inteval makes a true statement.
The test points will be: -5, 0, 5.
We disgard the any and all false statements as they are untrue (the work is below).
Thirdly, we must reiterate what whether or not the endpoints that we discovered in part 1 are, in fact, part of the solution set.
As shown in step 1, the interval endpoints ARE part of the solution set because the inequality is NOT strict.
The final part of the problem is writing our answer in interval notation:
Answer: (-inf, -1] U [13/7, inf)
And that’s that.
If you have any questions, or noticed any small or large mistakes with my work – please, comment and tell me what is wrong or what questions you might have with my method.
Thank you for reading, and have a nice day.
Hi, my name is Daniele Raffaele Ignazio D’Ambrosio.
I am currently at the start of my journey to (hopefully) complete a Computer System Major – and I hope that, through my journey, I am able to find out what I want to do with my life and what career options that I want to apply for once I graduate.
My hobbies are Reading, Writing, Drawing, playing Video Games, and watching television/movies/et cetera. These things are my hobbies because I love fiction, I love going through the worlds and imaginations of others and creating my own – to me, it is simply divine.
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