Question

if p is a set of prime factors of 7040 and q is a set of prime factors of 4180. if x is a member of set p and y us a member of set q what is the greatest possible value of y-x​

Answer 1

Step-by-step explanation:

Given:-

p is a set of prime factors of 7040 and q is a set of prime factors of 4180. if x is a member of set p and y us a member of set q .

To find:-

what is the greatest possible value of y-x.

Solution:-

P is the set of prime factors of 7040

=>P={2,5,11}----(1)

Q is the set of prime factors of 4180

=>Q={2,5,11,19}------(2)

Q-P={2,5,11,19}-{2,5,11}

Q-P={19}

The greatest possible value of Q-P=19

X is a smallest number of members in the set P=2

Y is the largest number of members in the set =19

y-x=19-2

y-x=17

The greatest possible value of y-x=17