Question

Which of the following are correct with respect to |x|?
|x| = -x if x < 0 or x=0
|x| = x if x > 0 or x =0
|x| = -x if x <0

I know 2 is correct, but are the other two also correct? I need explaination, absolute values can't be negative

Answer 1

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Answer 2

@Mimi_x3 is three correct? aan you explian it a bit more?

Answer 3

mod x means absolute value of x
it is always positive.

Answer 4

if

Answer 5

is it clear

Answer 6

only third one is correct

Answer 7

all of them are correct but you need to consider x=0 case, how would your text book deal with it.
and remind this... you are allowed 1 statement that tell you what to do with x=0 as if u code this u would had a glitch.

Answer 8

Hey, @ikram002p can I know why they are all correct?

Answer 9

Here is the question btw, i am studying for a test.

Answer 10

f(x)=|x| means this function need to be positive all the time, so when x>0 means its positive so f(x)=x no harm, and when x<0 means x is negative so we multiply it with negative to get a positive sign at the end, f(x)=-z as x<0... now for 0 all cases works as f(x)=0...

Answer 11

okay thanks