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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

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Solution

Primero, evaluemos cada parte de la expresión paso a paso.

  1. Evaluemos (C – D) * 2:

    • C = 16
    • D = -8
    • C – D = 16 - (-8) = 16 + 8 = 24
    • (C – D) * 2 = 24 * 2 = 48
  2. Evaluemos A + B:

    • A = 9
    • B = 11
    • A + B = 9 + 11 = 20
  3. 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
  4. Evaluemos E AND F:

    • E = TRUE
    • F = FALSE
    • E AND F = TRUE AND FALSE = FALSE
  5. 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
  6. Evaluemos (C – D) * 2 <> A + B:

    • (C – D) * 2 = 48
    • A + B = 20
    • (C – D) * 2 <> A + B = 48 <> 20 = Verdadero
  7. 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.

This problem has been solved

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