Question

Which of the following is the set P for all the names of polygons with more than 3 sides and under 5 sides?

Select the correct answer below:
a. P = {tetragon, pentagon}
b. P = {tetragon}
c. P= {trigon, tetragon, pentagon}
d. P= {monogon, digon, trigon}

Answer 1

The correct answer is b. P = {tetragon}, as it is the only polygon with more than 3 sides and less than 5 sides.

Step-by-step explanation:

The question asks for the set P which includes all the names of polygons with more than 3 sides and under 5 sides. Polygons are named according to the number of their sides. A polygon with 3 sides is called a triangle or trigon, and one with 4 sides is called a tetragon or a quadrilateral. A polygon with 5 sides is known as a pentagon. Given the conditions for set P, we must include polygons that have more than 3 sides but less than 5 sides. Therefore, the only polygon that fits this description is a tetragon as the pentagon has exactly 5 sides, and we are looking for polygons with under 5 sides only.

Given this information, the correct answer from the provided options would be:

b. P = {tetragon}