Indicate if the following statement is true or false:(C – D) * 2 <> A + B OR E AND F OR B > D + B ^ 2 where A = 9, B = 11, C = 16, D = -8, E = TRUE AND F = FALSETrueFalse
Question
Indicate if the following statement is true or false:(C – D) * 2 <> A + B OR E AND F OR B > D + B ^ 2 where A = 9, B = 11, C = 16, D = -8, E = TRUE AND F = FALSETrueFalse
Solution
Primero, evaluemos cada parte de la expresión paso a paso.
-
Evaluemos (C – D) * 2:
- C = 16
- D = -8
- C – D = 16 - (-8) = 16 + 8 = 24
- (C – D) * 2 = 24 * 2 = 48
-
Evaluemos A + B:
- A = 9
- B = 11
- A + B = 9 + 11 = 20
-
Evaluemos B > D + B ^ 2:
- B = 11
- D = -8
- B ^ 2 = 11 ^ 2 = 121
- D + B ^ 2 = -8 + 121 = 113
- B > D + B ^ 2 = 11 > 113 = Falso
-
Evaluemos E AND F:
- E = TRUE
- F = FALSE
- E AND F = TRUE AND FALSE = FALSE
-
Evaluemos E AND F OR B > D + B ^ 2:
- E AND F = FALSE
- B > D + B ^ 2 = Falso
- E AND F OR B > D + B ^ 2 = FALSE OR Falso = Falso
-
Evaluemos (C – D) * 2 <> A + B:
- (C – D) * 2 = 48
- A + B = 20
- (C – D) * 2 <> A + B = 48 <> 20 = Verdadero
-
Evaluemos la expresión completa:
- (C – D) * 2 <> A + B OR E AND F OR B > D + B ^ 2
- (C – D) * 2 <> A + B = Verdadero
- E AND F OR B > D + B ^ 2 = Falso
- Verdadero OR Falso = Verdadero
Por lo tanto, la declaración es True.
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