Problem

Classify each of the following statements as true, false, or not a valid mathematical stat...

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 + 27 < .

(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 ab ≥ 0 and ba ≥ 0, then a = b.

(q) If a and b are integers with a −b > 0 and ba > 0, then a = b.

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Solutions For Problems in Chapter 0.1