Answer to Question #267977 in Discrete Mathematics for Mabapoke

Question #267977

3. Which of the intervals (0, 5), (0, 5], [0, 5), [0, 51, (1,4], [2, 3], (2, 3) contains a) 0? b)1?c)2? d) 3? e)4? f)5?


1
Expert's answer
2021-12-06T12:06:12-0500

Question

Which of the intervals (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], [2, 3], (2, 3) contains

(a) 0? (b) 1? (c) 2? (d) 3? (e) 4? (f) 5?

 

Answer

(0, 5) is contains all values between 0 and 5, expect of 0 and 5.

(0, 5] is contains all values between 0 and 5 with 5, expect of 0.

[0, 5) is contains all values between 0 and 5 with 0, expect of 5.

[0, 5] is contains all values between 0 and 5 with 0 and 5.

(1, 4] is contains all values between 1 and 4 with 4, expect of 1.

[2, 3] is contains all values between 2 and 3 with 2 and 3.

(2, 3) is contains all values between 2 and 3, expect of 2 and 3.

(a)  0 containing in [0, 5), [0, 5].

(b) 1 containing in (0, 5), (0, 5], [0, 5), [0, 5].

(c)  2 containing in (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], [2, 3].

(d)  3 containing in (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], [2, 3].

(e) 4 containing in (0, 5), (0, 5], [0, 5), [0, 5], (1, 4].

(f) 5 containing in (0, 5], [0, 5].


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