1. The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity. a. Vx € Z, 5x? +1< 6. Б. Э х€Z s.t. бх? — х — 13D0. -X c. 12x + 18y = 40 has integral solutions. () - ) -() -) б 6. + 6 d. 64 4 + = 128 е.

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1. The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity.

1. The following statements are all false. Do not simply negate the statement. Give a counterexample
or a proper reasoning to emphasize its falsity.
a. Vx € Z, 5x? +1< 6.
Б. Э х€Z s.t. бх? — х — 13D0.
-X
c. 12x + 18y = 40 has integral solutions.
() - ) -() -)
б
6.
+
6
d.
64
4
+
= 128
е.
Transcribed Image Text:1. The following statements are all false. Do not simply negate the statement. Give a counterexample or a proper reasoning to emphasize its falsity. a. Vx € Z, 5x? +1< 6. Б. Э х€Z s.t. бх? — х — 13D0. -X c. 12x + 18y = 40 has integral solutions. () - ) -() -) б 6. + 6 d. 64 4 + = 128 е.
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