The number t is irrational. Which statement about t−π is true?Choices:(A) t−π is rational.(B) t−π is irrational.(C) t−π can be rational or irrational, depending on the value of t.
Q. The number t is irrational. Which statement about t−π is true?Choices:(A) t−π is rational.(B) t−π is irrational.(C) t−π can be rational or irrational, depending on the value of t.
Identify Type of π: Identify whether π is a rational or irrational number.π is a well-known mathematical constant that represents the ratio of a circle's circumference to its diameter. π is an irrational number.
Properties of Irrational Numbers: Consider the properties of irrational numbers. The difference between two irrational numbers can be either rational or irrational. It depends on the specific values of the numbers involved.
Outcomes for t−π: Analyze the possible outcomes for t−π. If t is an irrational number that is not related to π in a simple way (for example, t is not equal to π or −π), then t−π will also be irrational. However, if t is some irrational number that when subtracted by π results in a rational number (for example, if t−π0, where t−π1 is rational), then t−π would be rational.
Correct Statement: Determine the correct statement based on the analysis.Since there are scenarios where t−π can be rational and others where it can be irrational, depending on the specific value of t, the correct statement is that t−π can be rational or irrational, depending on the value of t.
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