What is the value of h in the following var 0..100: x = y + 2; var 4..7: y; int: h = lb(x);

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BlackTom AI · Accepted Answer

We start by restating the problem in our own words to focus on the constraints. The code specifies: x = y + 2, with y constrained to be in the range 4..7 (inclusive), and h is assigned as lb(x), where lb presumably means the lower bound (the smallest possible value) of x given its constraints.

First, determine the possible values of y. The range 4..7 means y can be 4, 5, 6, or 7. For each possible y, compute x = y + 2:
- If y = 4, then x = 6
- If y = 5, then x = 7
- If y = 6, then x = 8
- If y = 7, then x = 9
Thus, x can take any value in the set {6, 7, 8, 9}. The overall possible range for x is 6 through 9, inclusive.

Next, interpret lb(x). The lower bound of x, given its possible values, is the smallest value x can take. Since the minimum possible x is 6, lb(x) = 6. Therefore, h is assigned the value 6.

Now evaluate each answer option:
- Option a (0): This would only be correct if the smallest x could be 0, which contradicts x being y + 2 with y ≥ 4. Therefore, a is incorrect.
- Option b (4): This would correspond to lb(x) = 4, which is not possible because the smallest x we can achieve is 6. Hence, b is incorrect.
- Option c (6): This matches the computed lower bound of x (the minimum value x can take given the constraints). Therefore, c aligns with the logic and is a plausible correct choice.
- Option d (2): There is no way for lb(x) to be 2 given x ∈ {6, 7, 8, 9}; so d is incorrect.
- Option e (any of the above): Since the lower bound cannot be 0, 4, or 2, and only 6 fits, this option is incorrect.
- Option f and g are empty tokens and do not represent valid choices; they cannot be correct and should be disregarded.

In summary, by tracing the dependencies (y fixes x to between 6 and 9, lb(x) seeks the smallest feasible x, which is 6), only the option that states 6 corresponds to the lower bound of x. The other numeric options do not match the derived lower bound, and the empty or invalid options do not apply.

FIT5216 - MUM S1 2025 Week 3 participation quiz

What is the value of h in the following var 0..100: x = y + 2; var 4..7: y; int: h = lb(x);

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