Does there exist a 1-1 and onto function that maps the integers to the rationales? Choose the best response below. Yes, but the function is not easily written in a "normal" way. Yes, and thus you can easily write it explicitly. No, because you can't write it explictly. No because the two set don't have the same cardinality.

When can a theorem be cited as a reason reason in a proof?

Does the relation is in love with have a reflexive property consider one person? a symmetric property consider two people? a transitive property consider three people?

Express the set of real numbers between but not including 2 and 7 as follows. (a) In set-builder notation:__________________ (b) In interval notation:__________________

Plz correct solution with explanation  how.  ...all

The class I'm taking is computer science discrete structures. I am completely stuck. Please help! If you can please add an explanation with answer so I can better understand . Thank you!

A. (-1. 1} B. (-1.0. 1} C. (-4.-2. 8) D. (-4, -2.-1.0. 1.8) 3. What is the domain of the relation below? A. All real numbers greater than or equal to 0. B. All real numbers. C. All real numbers between -6 and 4. D. All real numbers greater than-2. 5. What is the range o' the relation below? A. x<3 C. x56 B. y<4 D. ys6

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Please help me solve this and solve into detail.    For this Big Problem, we’re going to experiment with some unusual relations. The relation⋆ means “this number written out in English has this many letters”. For example, 6 ⋆ 3because the word “six” has 3 letters in it.  (1) List the elements of ⋆ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (2) Draw a digraph of ⋆ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Remember that a digraph just hasone copy of each element! (3) Is ⋆ reflexive, antisymmetric, symmetric, and/or transitive? Explain your answer. (4) Pick another language and let the relation ♡ mean “this number written out in [yourlanguage] has this many letters”. List the elements of ♡ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (5) Draw a digraph of ♡ on {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. (6) Is ♡ reflexive, antisymmetric, symmetric, and/or transitive? Explain your answer. (7) Look at your digraph of ⋆ from question two. Imagine starting at 10 and followingthe arrows as far as you can. Where do you end up?…

not use ai please don't