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Find the component statements of the fol...

Find the component statements of the following comound statements , check whether they are true not , and also write connective word
(i) Rectangle is a parellelogram and its diagonals are equal
(ii) 39 is odd and prime number
(iii) 18 is a multiple of 2,3,6 and 9
(iv) It is raining or grass is black
(v) -5 is a negative interger or an irrational number

Text Solution

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(i) The component statement are
p : Reactangle is a parallelogram . (True)
q : Diagonals of rectangle are equal. (True)
Here connective is "AND"
(ii) The component statements are
p : Rectangle is a parallelogram . (True)
q : Diagonals of rectange are equal . (True)
Here connective is "And"
(iii) The component statements are
p : 18 is a multiple of 2. (True)
q : 18 is a multiple of 3 (True)
Connective is "and"
(iv) The component is are
p : It is raining . (True)
q : Grass is black . (Flase) . Connective word is "OR"
(v) The component statements are
p : 5 is a negative integer . (True)
q : -5 is an irrational number . (False)
Connective is "OR"
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