Writing down propositions symbolically & state truth values.

Hey guys, I need help with a study question. "Write down the following propositions symbolically and state their values. Then write down the negation of each propositions."

a) There is a real number such that .

*My Answer:* and this is **TRUE **for when . The negation to this is

b) For every real number there is a real number such that .

*My Answer:* and this is **FALSE **because not a single real value for can equal all real values of . The negation to this is

Are my answers OK? thanks