# State whether 'or' used in the statement " All integers are positive or negative" is inclusive or or exclusive or. Give reason.

$\begin{array}{1 1} inclusive\;or \\ exclusive\;or \end{array}$

Toolbox:
• 'or' is exclusive in the statement if only one of the the components occur at a time to make the statement correct.
• 'or' is inclusive in the statement if both the components can occur simultaneously to make the statement correct.
The given statement is:
"All integers are positive or negative"
Here 'or' is exclusive or
Because if all integers are positive then they will not be negative and vice versa.
An integer cannot be both positive and negative simultaneously.
edited Jul 16, 2014