Tutors Answer Your Questions about absolute-value (FREE)
Question 7779: This is a great site for help. I have worked my solution for the absolute value below but I would like to know if I am addressing it correctly.
Could you please solve the absolute value equation and explain each step for my reference:
| a – 6 | = | 6 – a |
Thanks
Click here to see answer by jam123(18)  |
Question 698602: Hi there! I am working on an absolute value lesson in my algebra book and there is a section where it says, "Describe and correct the error in solving the absolute value equation." The one I'm stuck on looks like this:
|x-6|=-2
x-6=-2 or x-6=2
x=4 or x=8
I have looked at it for a long time and I still don't understand what the error is. You rewrite the original equation as two equations, positive and negative, and then you solve them. It looks correct to me! Could you help me figure out what the error is? I'm sure it's right there in front of me, but for some reason I just can't figure it out.
Thank you!
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 701139: Help me understand this. I can work absolute values until it comes to putting the addition sign in the same area as the negative sign. I just cannot work this problem and am trying! Would really appreciate the help.
Start with negative -|-4+1|+|(-4)|-7+(-8)
Click here to see answer by jim_thompson5910(35256) |
Question 704621: We were learning about translations in class last Friday. I'm just generally confused about what it is and how to solve problems like the one below:
Graph the function y = [x] +2 by translating y = [x].
I usually understand concepts right away but I couldn't focus in class that day, and the examples in the book aren't helping.
Click here to see answer by jim_thompson5910(35256) |
Question 704840: Find the values of x in the following equation:
4|-5x + -2| + -6 = 182
x = -9.5 or x = -8.7 x = -9.5 or x = 8.7
x = -9.8 or x = 9 x = -9 or x = 9.8
12. Find the values of x in the following equation:
4|x + 5| + -6 = 34
x = -15 or x = 5 x = -5 or x = 15
x = -12 or x = 5 x = -5 or x = 12
13. Find the values of x in the following equation:
5|2x + 1| + -5 = 80
x = -8 or x = 8 x = -8 or x = 9
x = -6 or x = 8 x = -9 or x = 8
14. Find the values of x in the following inequality:
|8x + 2| ≤ 38
-5 ≤ x ≤ 4.5 -4.5 ≤ x ≤ 5
x ≤ -5 or x ≥ 4.5 x ≤ -4.5 or x ≥ 5
15. Find the values of x in the following inequality:
|4x + 9| > 45
-9 < x < 13.5 x < -13.5 or x > 9
x < -9 or x > 13.5 -13.5 < x < 9
16. Find the values of x in the following inequality:
|4x + 3| > 25
-7 < x < 5.5 -5.5 < x < 7
x < -7 or x > 5.5 x < -5.5 or x > 7
17. Find the values of x in the following inequality:
|-6x + 3| ≥ 39
x ≤ -7 or x ≥ 6 -6 ≤ x ≤ 7
-7 ≤ x ≤ 6 x ≤ -6 or x ≥ 7
18. Find the values of x in the following inequality:
|-2x + 8| < 20
-14 < x < 6 x < -6 or x > 14
-6 < x < 14 x < -6 or x > 14
Part 3
Select the best answer from the choices provided. (Each question is worth one point)
19. Which of the following graphs is the solution to the inequality?
|-3x + 9| < 24
20. Which of the following graphs is the solution to the inequality?
|8x + 1| > 23
21. Which of the following graphs is the solution to the inequality?
|-5x + 10| ≤ 25
22. Which of the following graphs is the solution to the inequality?
|-8x + -8| < 48
Click here to see answer by solver91311(24713)  |
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