Complete the following problems:

a) Translate the following statement into mathematical English. $\mathrm{\forall}x[(P(x)\wedge \u231d(x=2))\to O(x)]$, where P(x) means "r is a prime number" and O(x) means "x is odd"

b) Negate this statemem and express the result as a positive satemem (without using "no" or "nor"): There issomeone in the freshman class who doesn't have a roommate

a) Translate the following statement into mathematical English. $\mathrm{\forall}x[(P(x)\wedge \u231d(x=2))\to O(x)]$, where P(x) means "r is a prime number" and O(x) means "x is odd"

b) Negate this statemem and express the result as a positive satemem (without using "no" or "nor"): There issomeone in the freshman class who doesn't have a roommate