Question

Consider ℝ with the standard topology and the map f : ℝ → {–1, 0, 1}...

Consider ℝ with the standard topology and the map f : ℝ → {–1, 0, 1} defined by:
f(x) = {–1 when x > 10; 0 when –10 ≤ x ≤ 10; and 1 when x < –10}.

Select each and every set that is an open sets in the quotient topology on {–1, 0, 1} (there are 3 out of 5).

A. {–1,0,1}

B. {0}

C. {0,1}

D. {–1}

E. {–1,1}

This is all that I have. This question is very confusing to me.
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