Q. Assume that (R,T) is the usual Euclidean topological space. Let ([1,6], T1,6) be the relative topology on [1,6] induced by T. Then the interval set (3,6] a. is open and not closed in ([1,6], T1,6|). b. is closed and not open in ([1,6), T1,6). c. is clopen in ([1,6], T¡1,6). d. is neither open nor closed in ([1,6], T1,6). a b d

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Q. Assume that (R,T) is the usual Euclidean topological space.
Let ([1,6], T1,61) be the relative topology on [1,6] induced by T.
Then the interval set (3,6
a. is open and not closed in ([1,6], T1,6|).
b. is closed and not open in ([1,6), T1,6]).
c. is clopen in ([1,6], T¡1,6).
d. is neither open nor closed in ([1,6], T1,6).
a
d
Transcribed Image Text:Q. Assume that (R,T) is the usual Euclidean topological space. Let ([1,6], T1,61) be the relative topology on [1,6] induced by T. Then the interval set (3,6 a. is open and not closed in ([1,6], T1,6|). b. is closed and not open in ([1,6), T1,6]). c. is clopen in ([1,6], T¡1,6). d. is neither open nor closed in ([1,6], T1,6). a d
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