SOLUTION: I understand the absolute-value notation are in bars, not parentheses or brackets. I also understand if there is a negative number in the bars, the absolute value becomes a posit

Algebra ->  Absolute-value -> SOLUTION: I understand the absolute-value notation are in bars, not parentheses or brackets. I also understand if there is a negative number in the bars, the absolute value becomes a posit      Log On


   

Question 295391: I understand the absolute-value notation are in bars, not parentheses or brackets. I also understand if there is a negative number in the bars, the absolute value becomes a positive number......

the question is:

The absolute value of negative seven is less than or equal to seven.

choices:

a. | –7 | = 7
b. | –7 | < 7
c. | –7 | ≤ 7
d. | –7 | ≥ 7

I choose a and so did the teacher. Other students questioned her about it and now she is saying a is the wrong answer.

I choose a because the question asked the absolute value of -7, | –7 | is less than or = to 7. Since the absolute value of -7 is 7 it cannot be less than...because they are equal.

this is how I understand...please correct me if i'm wrong.
if a isn't the correct answer, then none of the choices she gave would be right.

b. | –7 | < 7 ~ the absolute value of -7 is 7 . 7 cant be less than 7 because 7=7
c. | –7 | ≤ 7 ~ the absolute value of -7 is 7. 7 does = 7 but is it not less than 7
d. | –7 | ≥ 7 ~ the absolute value of -7 is 7. 7 does = 7 but is it not greater than 7

THANKS!!
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think the key is in the word "or"
"less than or equal to" includes equal as does
"greater than or equal to"
The correct answers would be a,c, and d.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This is a poorly written problem.
The only one that is really incorrect is b.
Since >= and <= are "or" the or = is true. and the = of a is also correct.