Prove that discrete math: \forall x \in R|x-1| = \begin{cases}

Emily-Jane Bray

Emily-Jane Bray

Answered question

2021-08-11

Prove that discrete math: xR
|x1|={x1,ifx11x,ifx<1

Answer & Explanation

Mayme

Mayme

Skilled2021-08-12Added 103 answers

Proof:
Use the difinition of |x|:{x,x0x,x<0
Now, replace x by x-1
|x-1| = {x1,x10(x1),x1<0
Simplify further and get:
|x-1| = {x1,x11xx<1

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