Mathematical statements into logical statements with nested quantifiers. info About Translate each of the following English statements into logical expressions. The domain of discourse is the set of all real numbers.

(a) There are two numbers whose ratio is less than 1.

(b) The reciprocal of every positive number is also positive.

(c) There are two numbers whose sum is equal to their product.

(d) The ratio of every two positive numbers is also positive.

(e) The reciprocal of every positive number less than one is greater than one.

(f) There is no smallest number.

(g) Every number other than 0 has a multiplicative inverse.

(h) Every number other than 0 has a unique multiplicative inverse.