Prove or Disprove the following statements. You may type or hand write your answer.a. For all real numbers a, b with a + 0, if alb, then a² |b².b. If r is a rational number and x is irrational, then rx is rational.c. For all integers a, b, then if a³ is odd, then a is odd.3

Name: Prove or Disprove the following statements. You may type or hand writ
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Description: Prove or Disprove the following statements. You may type or hand write your answer.a. For all real numbers a, b with a + 0, if alb, then a² |b².b. If r is a rational number and x is irrational, then rx is rational.c. For all integers a, b, then if a

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Prove or Disprove the following statements. You may type or hand write your answer. a. For all real numbers a, b with a + 0, if a|b, then a? |b2. b. If r is a rational number and x is irrational, then rx is rational. c. For all integers a, b, then if a³ is odd, then a is odd.