T = True; F = False. A and B are inputs, rest are outputs. Input value: Loan amo

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ID: 2903388 • Letter: T

Question

T = True; F = False. A and B are inputs, rest are outputs.

Input value:

Loan amount = $100,000

Credit score = 700

Units = 1 (can be either 1-4)

Logical expressions: AND, OR, NOT, >, >=, <, <=, =, <>

Using input values, evaluate the conditions to determine if they are T/F, explain why:

1. (loan amt = 100000) AND [(score > 660) OR (units = 2)]

2. (units > 2) OR [(loan amount = 100000) AND (score > 700)]

3. Not [ (loan amt = 100000) AND (score = 700) AND (units = 2) ]

4. (loan amt <> 88000) AND ( Not[(score < 660) OR (units = 3)] )

5. Not ( [(loan amt = 100000) AND (units = 2)] OR (score = 700) )

Are these conditions equivalent? Explain why:

1. NOT [ A OR B OR ( C AND D ) ]

( NOT-B ) AND ( NOT-A ) AND ( NOT-C OR NOT-D )

2. [( A OR B ) OR [ NOT ( C OR D ) ]

[ B OR ( NOT-C AND NOT-D ) ] OR A

A OR [ ( NOT-C OR B ) AND ( B OR NOT-D ) ]

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