Question

(a) Show that if a, b ∈ R, then |a| ≤ |a − b| + |b|....

(a) Show that if a, b ∈ R, then |a| ≤ |a − b| + |b|.
(b) Deduce that if a, b ∈ R, then |a| − |b| ≤ |a − b|.

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