1.

Write the component statements of the following compound statements and check whether they are true of false. (i) a multiple of 9 and 12 is 18. (ii)all sides of equilateral triangle are equal and each angle is 60^@. (iii) All angles and all sides of a rectangle are equal. (iv) 0 is smaller than 1 and greater than -1.

Answer»

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SOLUTION :(i) p: a multiple of 9 is 18.
q : a multiple of 12 is 18.
p is true and q is false.
(ii) p:all sides of an equilateral triangle are EQUAL.
q: each angle of an equilateral triangle is `60^@`.
both statements are true.
(III) p: all angles of a rectangle are equal.
q: all sides of a rectangle are equal.
p is true and q is false.
(iv) p : 0 is smaller than 1.
q : 0 is greater than `-1`.
both statements are true.


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