Question

1. choose the best answer.

conjecture: according to current data, the star vy canis majoris with a size of about 2,000 solar diameters is the largest star in the known universe. is this conjecture true?
list of the largest known stars

star name	solar diameter (sun = 1)
betelgeuse	650
kw sagitarii	1460
ky cygni	1420
mu cephei	1420
v354 cephei	1520
v382 carinae	747
v509 cassiopeiae	910
v838 monocerotis	800
vv cephei	1600-1900
vy canis majoris	1800-2100

options:

• no, mu cephei is a counterexample.
• yes.
• no, kw sagitarii is a counterexample.
• no, betelgeuse is a counterexample.

Explanation:

To determine if the conjecture is true, we analyze the solar diameters of the stars in the list. VY Canis Majoris has a solar diameter range of 1800 - 2100. Let's check the other stars:

• Mu Cephei has a solar diameter of 1420, which is less than VY Canis Majoris' range.
• KW Sagitarii has a solar diameter of 1460, which is less than VY Canis Majoris' range.
• Betelgeuse has a solar diameter of 650, which is less than VY Canis Majoris' range.

Among the given options, the conjecture states VY Canis Majoris (about 2000 solar diameters) is the largest. The range 1800 - 2100 includes 2000, and other stars have smaller diameters. So the conjecture is true.

Answer:

Yes.