Problem 158 of 7
Explain whether statement the difference of a rational number and an irrational number is rational is an always, sometimes, or never claim.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
distinguish always, sometimes, never claims.
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Statement must involve rational and irrational closure or non-closure.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the number types and operation.
2. Check whether a closure rule applies.
3. If not always true, use examples or counterexamples to classify the statement.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Examples that do not match the number types in the statement.