Hint for Section 2.1 Question 2

2. a) For this statement to be true, it must be true for all real numbers x. To show it is false, find one real number for which x²2.

b) For this statement to be true, it must be true for at least one real number x. To show it is false, show that x²2 for any real number x.

c) For this statement to be true, it must be true for all elements x of the set A. To show it is false, find one element x of A for which x² is greater than 10.

d) For this statement to be true, it must be true for at least one element x of the set A. To show it is false, show that x is less than 4 for every element x of A.

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