Question

what is the best way to make certain all parts of a complex logical expression evaluate in the order that your program requires?
select one:
o a. always use nested \if\ statements to break down complex expressions
o b. write expressions from left to right and hope for the best
o c. use parentheses to mark expressions that should evaluate first
o d. break statements across multiple lines, with highest priority expressions coming first

given the code below, which expression placed in the ???? location will ensure a false result?
a = false
b = true
c = true
if (????);
select one:
o a. a or b or c
o b. (a and b) or c
o c. a and (b or c)
o d. a and b or c

Explanation:

Step1: Analyze option a

For logical OR operation, if any operand is True, the result is True. Here \(A = False\), \(B = True\), \(C = True\). So \(A\ or\ B\ or\ C=(False)\ or\ (True)\ or\ (True)=True\).

Step2: Analyze option b

First calculate \(A\ and\ B\): \(A = False\), \(B = True\), so \(A\ and\ B = False\). Then \( (A\ and\ B)\ or\ C=(False)\ or\ (True)=True\).

Step3: Analyze option c

First calculate \(B\ or\ C\): \(B = True\), \(C = True\), so \(B\ or\ C = True\). Then \(A\ and\ (B\ or\ C)=(False)\ and\ (True)=False\).

Step4: Analyze option d

In Python (assuming similar logical operation precedence as in many programming languages, where \(and\) has higher precedence than \(or\)), \(A\ and\ B\ or\ C=(False\ and\ True)\ or\ True = False\ or\ True = True\).

Answer:

C. A and (B or C)