# Determine whether the compound condition is True or False.

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## Question:

Determine whether the compound condition is True or False.4 < 3 and 5 < 10 4 <3 or 5 < 10 not (5 > 13)

The given compound conditions would be considered true or false as follows:

i). 4 < 3 and 5 < 10 – False

ii). 4 <3 or 5 < 10 – True

iii). not (5 > 13)  – True

• i). 4 < 3 and 5 < 10 would be considered false and the reason behind this is that the logical operator ‘and’ implies that both are equivalent but here 4 < 3 is incorrect as it differentiates from the meaning conveyed in 5 < 10
• ii). In the second statement i.e. 4 <3 or 5 < 10, ‘or‘ is the correct logical operator because one of the parts i.e. 5 < 10 is actually true while the latter is false.
• iii) In the next part “not (5 > 13)” is also true as it adequately uses the operator not‘ to imply that 5 is not bigger than 13 which implies it to be true.
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Thus, the first statement is false and the other two are true.