Translate the following statements into symbolic form (i) 2, 3 and 6 are factors of 12. (ii) Either x or x + 1 is an odd integer.

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Translate the following statements into symbolic form
(i) 2, 3 and 6 are factors of 12.
(ii) Either x or x + 1 is an odd integer.

Translate the following statements into symbolic form
(i) 2, 3 and 6 are factors of 12.
(ii) Either x or x + 1 is an odd integer.

Solution:

(i) The sentence given is a compound statement whose components are

$p$ : 2 is a factor of 12

$q$ : 3 is a factor of 12

$r$ : 6 is a factor of 12

It can can be represented in symbolic function as,

$\text{p }\wedge \text{ q }\wedge \text{ r}$ : 2, 3 and 6 are factors of 12.

Solution:

(ii) The sentence given is a compound statement whose components are

$p$ : $x$ is an odd integer

$q$ : $x+1$ is an odd integer

It can now be represented in symbolic function as,

$p\wedge q$ : Either $x$ or $x + 1$ is an odd integer.

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