Consider the sets below. A = {x|x is a polygon}, B = {x|x is a triangle} which is true?

(a) A ⊂ B; (b) A ⊃ B; (c) A ⊆ B; (d) A ⊇ B

The given question is based on subsets and supersets and properties of geometric shapes.

Answer: If A = {x|x is a polygon}, B = {x|x is a triangle} then A ⊃ B.

Let us find the solution.

Explanation:

A triangle is a closed figure or shape with 3 sides, 3 angles, and 3 vertices. In fact, the triangle is a 3-sided polygon.

A is a set of triangles and B is a set of polygons.

Triangles are a type of polygons.

So, a set of triangles are a sub-set of a set of polygons.

A set of polygons is a superset of a set of triangles.

Thus, if A = {x|x is a polygon}, B = {x|x is a triangle} then A ⊃ B.