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## Main Question or Discussion Point

Could someone please help me with the following question with a guided step by step answer:

Show that T = (x, y, z) : -1 ≤ x + y + z ≤ 1

is not a vector subspace of R3

Thanks!

Show that T = (x, y, z) : -1 ≤ x + y + z ≤ 1

is not a vector subspace of R3

Thanks!