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Prove the following statement by contraposition.If x is irration.pdf

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Prove the following statement by contraposition. If x is irrational, then 1/x is irrational. Prove the following statement by contraposition. If x is irrational, then 1/x is irrational. Solution Suppose x is irrational, but 1/x is rational. then we may write 1/x= p/q where p ans q are both integers. since 1/x = p/q, x = q/p therefore x is also rational that iscontradictory to \"x is irrational\" If x is irrational, then 1/x must also be irrational..

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Prove the following statement by contraposition. If x is irrational, then 1/x is irrational. Prove the following statement by contraposition. If x is irrational, then 1/x is irrational. Solution Suppose x is irrational, but 1/x is rational. then we may write 1/x= p/q where p ans q are both integers. since 1/x = p/q, x = q/p therefore x is also rational that iscontradictory to "x is irrational" If x is irrational, then 1/x must also be irrational.

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Prove the following statement by contraposition.If x is irration.pdf

  • 1. Prove the following statement by contraposition. If x is irrational, then 1/x is irrational. Prove the following statement by contraposition. If x is irrational, then 1/x is irrational. Solution Suppose x is irrational, but 1/x is rational. then we may write 1/x= p/q where p ans q are both integers. since 1/x = p/q, x = q/p therefore x is also rational that iscontradictory to "x is irrational" If x is irrational, then 1/x must also be irrational.