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I am stuck with some questions. Please help me out. Thanks.

If $P(x):x^2 < 12$, then $P(1.5)$ is a statement (I think yes. As the Universe of $x$ is not given but can be taken as set of Real Numbers.)

If $Q(n): n+3=6$, then $Q(m)$ is the statement (I think no. As $m$ is a variable and we can not have variables or undetermined values in a statement.)

If $P(y): 1+2+3+\ldots+y =0$, then $P(5)$ is the statement (I think yes.)

If $Q(m):m \leq 3^m$, then $Q(k)$ is the statement. (I think no. As $m$ is a variable and we can not have variables or undetermined values in a statement.)

Where Statement is a sentence that evaluates to either true or false but not both.

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    Then I agree with Arturo: you’ve answered all four of them correctly and given appropriate reasons.2011-09-28

1 Answers 1

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A CW post to eliminate this question from the Unanswered queue.


As has been remarked in the comments, your suggested answers and accompanying reasoning, which yield the answers:

Yes, No, Yes, No

are all correct. Cheers!