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Q: Is 4.46466... rational or irrational

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It is a rational number

Rational

Rational

If x is rational the it is rational. If x is irrational then it is irrational.

Rational. Rational. Rational. Rational.

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4.6 is rational.

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10.01 is a rational number

It is a rational number

Rational.

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rational

If x is rational the it is rational. If x is irrational then it is irrational.

Rational. Rational. Rational. Rational.

No, they are disjoint sets: no rational is irrational and no irrational is rational.

No. A rational plus an irrational is always an irrational.

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