Find the component statements of the following compound statements:
(i) The sky is blue and the grass is green.
(ii) The earth is round or the sun is cold.
(iii) All rational numbers are real and all real numbers are complex.
(iv) 25 is a multiple of 5 and 8.

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Solution

(i) The component statements of the given compound statement are:
1) The sky is blue.
2)The grass is green

(ii) The component statements of the given compound statement are:
1)The earth is round.
2)The sun is cold.

(iii) The component statements of the given compound statement are:
1) All rational numbers are real.
2) All real numbers are complex.

(iv) The component statements of the given compound statement are:
1) 25 is a multiple of 5.
2) 25 is a multiple of 8.

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Similar questions

Find the components of the following compound statements:

(i) The sky is blue and the grass is green.

(ii) The earth is round or the sun is cold.

(iii) All rational numbers are real and all real numbers are complex.

(iv) 25 is a mmultiple of 5 and 8.

Split each of the following compound statement into simple sentences and determine whether it is true or false.

(i) The grass is green and the sky is blue.

(ii) Agra is in Uttar Pradesh and Shimla is in Punjab.

(iii) All rational numbers are real and all real numbers are not complex numbers.

(iv) $x = 5$ and $x = 2$ are the roots of the equation $3 x^{2} - x - 10 = 0.$

x = 2

x = 3

3 x^{2} - x - 10 = 0

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