True or True #6

Number Theory Level 2

True or False: If $x$ and $y$ are integers and $\dfrac{x}{2} = y$ then, $x$ will always be a composite number.

True or True

True False Not True and Not False not true and not false

2 solutions

Paul Ryan Longhas
Nov 29, 2014

If x = 2, then x/2 = y ---> 2 /2 = 1. And 2 is a prime numbers

Michael Yi
Dec 29, 2014

We can see that x must be divisible by two, thus an even number, in order for y to be an integer. Following that logic, x can be any even number (... -4,-2,0,2,4 ...).

x = 2 will result in y=1 which satisfies the conditions but shows that x is prime, thus the part "x will always be a composite number" will not be true.

Answer = False

True or True #6

2 solutions

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