Classify each of the following statements as true, false, or not a valid mathematical statement. Explain your answers.
(a) [BB] 4 = 2 + 2 and 7 < .
(b) 4 ≠ 2 + 2 and 7 < .
(c) [BB] 5 is an even number and .
(d) 5 is an even number or .
(e) [BB] 9 = 32 or 3.14 < π.
(f) is rational or (−4)2 = 16.
(g) [BB] 4 = 2 + 2→7 < .
(h) 2 is an even integer → 6 is an odd integer.
(i) [BB] Let n denote a positive integer.
(j) 4 = 2 + 2↔7 < .
(k) 4≠2 + 2→7.
(I) 4≠2 + 2↔7 < .
(m)4 = 2 + 2→7 > .
(n) [BB] The area of a circle of radius r is 2π or its circumference is πr2.
(o) 2 + 3 = 5→ 5 + 6= 10.
(p) [BB] If a and b are integers with a − b ≥ 0 and b − a ≥ 0, then a = b.
(q) If a and b are integers with a −b > 0 and b − a > 0, then a = b.
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