2.1.3

Write each of the following statements as a precise mathematical statement. Use variable names to denote arbitrary numbers in the domain. Your statements should avoid mathematical terms (such as "square root" or "multiplicative inverse") and should be expressed using algebra.

(a) The square root of every positive number less than one is greater than the number itself.

(c) Every real number besides 0 has a multiplicative inverse.

(d) Among every consecutive three integers, there is a multiple of 3.

Note: a number is a multiple of 3 if it can be expressed as 3k for some integer k. Avoid the use of the word "consecutive" in your statement.

Please answer all questions