SOLUTION: If a < b, then | a - b | is equivalent to which of the following? my act answer key had k as the answer but i don't how it got that, so with a good explanation by showing work

Question 550103: If a < b, then | a - b | is equivalent to which of the following?
my act answer key had k as the answer but i don't how it got that, so with a good explanation by showing work would be much appreciated. thanks for ur help!
f. a+b
g. -(a+b)
h. square root of a-b
j. a-b
k. -(a-b)
Answer by mathstutor458(57) (Show Source): You can put this solution on YOUR website!
modulus (||symbol) value should not negative
the condition is a we know that |x|= plus or minus x
so |a-b|=a-b or -(a-b)
but here if we take |a-b|=a-b = -ve value(from the above condition)
so here we have to take |a-b|=-(a-b) which gives positive value
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