The statementFor every integer m, either m 1 or m2 4.can be expressed using a quantifier

Chapter 2, Problem 2.71

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The statementFor every integer m, either m 1 or m2 4.can be expressed using a quantifier as:m Z, m 1 or m2 4.Do this for the following two statements.(a) There exist integers a and b such that both ab < 0 and a + b > 0.(b) For all real numbers x and y, x = y implies that x 2 + y2 > 0.(c) Express in words the negations of the statements in (a) and (b).(d) Using quantifiers, express in symbols the negations of the statements in both (a) and (b).

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