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consider the sets below. a {x|x is a polygon} b {x|x is a triangle} whi…

Question

consider the sets below.
a {x|x is a polygon}
b {x|x is a triangle}
which is true?
○ a⊂b
○ b⊂a
○ a^c = b
○ b^c = a

Explanation:

Step1: Understand the definitions

A polygon is a closed - figure with straight sides. A triangle is a polygon with three sides. So every triangle is a polygon.

Step2: Recall the subset definition

If every element of set \(B\) is an element of set \(A\), then \(B\subseteq A\). Since all triangles (elements of \(B\)) are polygons (elements of \(A\)), \(B\) is a subset of \(A\), i.e., \(B\subset A\)

Answer:

\(B\subset A\)