Answer to Question #248902 in Discrete Mathematics for Celestra

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 1

Solution:

Given intervals: (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], [2, 3], (2, 3) 

a) Intervals containing 0 are [0,5), [0,5].

b) Intervals containing 1 are (0,5), (0,5], [0,5), [0,5].

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

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

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

f ) Intervals containing 5 are (0, 5], [0, 5].