Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Solving and Graphing Compound Inequalities  Problem 3
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
Solve "or" compound inequalities individually and graph on the same number line. The resulting graph should have two arrows pointing outwards (away from each other). An "or" inequality means that a possible solution could be less than a certain number OR greater than the other number. For example, x < 8 or x > 16 means that the solution can be less than 8 or greater than 16.
This is a compound inequality that uses the word 'or' so before I even do any Mathy stuff I'm going to think about how my answer on the number line should look like a graph that goes out like this, like oars on a canoe or something, I don't know.
So this is like two different problems, I'm going to solve each one individually and then just graph them together. First thing I would do in this problem to get x all by itself is subtract 3 from both sides. So part of my answer excuse me is x is less than 8. The other part of my answer comes from this problem x is larger than 16. This is my solution written out in symbols, I also want to make sure I graph it.
You want to ask your teacher how precise your graph needs to be. For me I'm a Math teacher I just ask that student to show zero and do it kind of a rough graph it can be a rough estimate. So like I kind of spaced 8 and 16 equally apart. I want numbers where x is less than 8 open circle because it's just less than, it's not less than or equal to and then open circle at 16, x could be a number that's bigger than 16.
So again this is kind of a weird problem because it looks like two different ones but we graph them together. The word 'or' links them together and makes them a compound inequality and the thing that's pretty cool as you say my solutions could be any number that's less than 8 or any number that's bigger that 16. It's like one big long sentence after your solution region but I think this way or this way both demonstrates that pretty simply.
Please enter your name.
Are you sure you want to delete this comment?
Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Sample Problems (8)
Need help with a problem?
Watch expert teachers solve similar problems.

Solving and Graphing Compound Inequalities
Problem 1 11,011 viewsIn U.S. high school boys wrestling, one weight class is greater than 103 pounds, but not exceeding 112 pounds.
Write a compound inequality to show the weights that are within this range. 
Solving and Graphing Compound Inequalities
Problem 2 9,953 viewsSolve and graph the solution.
5 ≤ 2x + 3 < 11 
Solving and Graphing Compound Inequalities
Problem 3 8,189 viewsSolve and graph the solution.
3 + x < 11 or x + 2 > 18 
Solving and Graphing Compound Inequalities
Problem 4 495 views 
Solving and Graphing Compound Inequalities
Problem 5 460 views 
Solving and Graphing Compound Inequalities
Problem 6 411 views 
Solving and Graphing Compound Inequalities
Problem 7 468 views 
Solving and Graphing Compound Inequalities
Problem 8 489 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete