SOLUTION: 1. The absolute value of "a" is (never, sometimes, always) equal to "a". 2. The absolute value of "x" is (never, sometimes, always) equal to "-x". 3. The absolute value of ""

Algebra ->  Absolute-value -> SOLUTION: 1. The absolute value of "a" is (never, sometimes, always) equal to "a". 2. The absolute value of "x" is (never, sometimes, always) equal to "-x". 3. The absolute value of ""      Log On


   

Question 972631: 1. The absolute value of "a" is (never, sometimes, always) equal to "a".
2. The absolute value of "x" is (never, sometimes, always) equal to "-x".
3. The absolute value of ""y" is (never, sometimes, always) equal to a positive integer.
4. "x" is (never, sometimes,always)greater than "x".

5. Can you show the steps in the solutions to these problems?
Thank you.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1. The absolute value of "a" is (never, sometimes, always) equal to "a".
The absolute value of a, denoted "abs%28a%29 " is the distance of a from zero. This is why absolute value is never+negative; absolute value only asks "how+far?", not "in+which+direction?"
so, your answer is:
The absolute value of "a" is always equal to "a"

2. The absolute value of "x" is (never, sometimes, always) equal to "-x".
since, by definition, absolute value is never+negative, your answer is:
The absolute value of "x" is never equal to "-x".


3. The absolute value of "y" is (never, sometimes, always) equal to a positive integer.
The absolute value of an integer is the numerical value without regard to whether the sign is negative or positive. y could be an integer, or decimal...
The absolute value of "y" is sometimes equal to a positive integer.
4. "x" is never greater than "x".

5. Can you show the steps in the solutions to these problems?
steps shown above