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Mathematics
Problem
Explain, using the idea of distance from zero, why the modulus function satisfies
∣
x
∣
=
−
x
|x|=-x
∣
x
∣
=
−
x
when
x
<
0
x<0
x
<
0
and
∣
x
∣
=
x
|x|=x
∣
x
∣
=
x
when
x
≥
0
x\ge 0
x
≥
0
.
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