Write each of the following expressions without using absolute value. |x−y|, if x<y I reall don't get this please help
well, look at it here and there
x always left of y on number line
x=-2 y=-1 -> x-y = -1 and |x-y|=1
x= 8 y= 10 -> x-y = -2 and |x-y|=2
in fact if x < y then x-y is ALWAYS - and |x-y| = y-x
so I conclude
y-x
To write the expression |x−y| without using absolute value, there are a couple of steps you can follow:
1. Identify the given condition: x < y.
2. Remember that the absolute value of a number is the distance between that number and zero on the number line. Therefore, the expression |x−y| represents the distance between x and y on the number line.
Now, since x < y, this means that y is greater than x. So, to find the distance between x and y, we can subtract x from y. However, since we want a positive distance, we need to take the absolute value of y - x.
Therefore, the expression |x−y| can be rewritten as (y - x).
This expression (y - x) represents the positive distance between x and y, fulfilling the condition x < y.