Prove or Disprove the following statements: (a) For any two different rational numbers, there's another rational...

Transcribed Image Text:

Prove or Disprove the following statements: (a) For any two different rational numbers, there's another rational number strictly between them. (b) The product of two irrational numbers is an irrational number. (c) For real numbers a and b, if a >b then a^2>b^2 (d) For every non-zero real number x, if x is irrational, then 2x-1 is also irrational. Prove or Disprove the following statements: (a) For any two different rational numbers, there's another rational number strictly between them. (b) The product of two irrational numbers is an irrational number. (c) For real numbers a and b, if a >b then a^2>b^2 (d) For every non-zero real number x, if x is irrational, then 2x-1 is also irrational.