Question

The conjecture "for n > 3, all n-gons have an even number

of sides" is disproved by which statement?

A Hexagons have six sides.

B Pentagons have five sides.

1

Octagons have eight sides.

Quadrilaterals have four sides.

Answer 1

pentagons have five sides

Explanation:

We want to find out why the statement disprove the conjecture

What the conjecture assumes is that for all polygons with more than 3 sides, all polygons here having their names ending in ‘gons’ have an even number of sides

The term pentagon refers to a 5-sided polygon

This polygon thus have more than 3 sides. Since 5 is not an even number, then we can conclude that the conjecture has been disproven