Question

Consider the statements:

(i) Sun rises or moon sets.

(ii) All integers are positive or negative.
(iii) Two lines intersect at a point or are parallel.
(iv) The school is closed if it is a holiday or a Sunday.
Which of the above statements is inclusive or statement?

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Answer 1

Answer:

i statement

ii inclusive

iii inclusive

iv statement

Answer 2

SOLUTION

For statement (i) Sun rises or moon sets is an "exclusive or" statement as sun rises and moon sets during day time.

(ii) Since all integers can not be both positive as well as negative. Therefore statement is "exclusive or"

(iii) It is not possible for two lines to intersect and parallel at the same time so this statement is "exclusive or"statement.

(iv) It is fact that school is closed on holiday as well as on sunday so statement "The school is closed if it is a holiday Or sunday.

Hence the statement (iv) is an "inclusive or" statement.