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Rewrite a conditional statement in if-then form

Given: No integers are irrational numbers. a. Rewrite a conditional statement in if-then form. EXAMPLE 5. Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false . If it is false, give a counterexample. SOLUTION.

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Rewrite a conditional statement in if-then form

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  1. Given: No integers are irrational numbers. a. Rewrite a conditional statement in if-then form EXAMPLE 5 Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample. SOLUTION If-then form: If a number is an integer, then it is not an irrational number. The statement is true.

  2. Given: All real numbers are rational numbers. b. 2  The statement is false. For example, is a real number but not a rational number. EXAMPLE 5 Rewrite a conditional statement in if-then form If-then form: If a number is a real number, then it is a rational number.

  3. All square roots of perfect squares are rational numbers. 10. EXAMPLE 5 for Example 5 Rewrite a conditional statement in if-then form GUIDED PRACTICE Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample. If-then form: If a number is the square root of perfect square, then it is a rational number. The statement is true.

  4. All repeating decimals are irrational numbers. 11. 1 3 The statement is false. For example, 0.333… is a repeating decimal and can be written as , so it is a rational number. EXAMPLE 5 for Example 5 Rewrite a conditional statement in if-then form GUIDED PRACTICE Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample. If-then form: If a number is a repeating decimal, then it is an irrational number.

  5. No integers are irrational numbers. 12. EXAMPLE 5 for Example 5 Rewrite a conditional statement in if-then form GUIDED PRACTICE Rewrite the given conditional statement in if-then form. Then tell whether the statement is true or false. If it is false, give a counterexample. If-then form: If a number is an integer, then it is not an irrational number. The statement is true.

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