Which of the following production rules CORRECTLY represents: "A student passes if their score is at least 50 OR they receive a special exemption"?

Question

BlackTom AI · Accepted Answer

Logical OR requires that at least one of the conditions is true for the whole condition to be true. Here the two atomic conditions are: S = (score >= 50) and E = (exemption = YES). The production rule must fire (result = Pass) whenever S OR E is true. Relevant knowledge points: - Boolean operators: OR is true if at least one operand is true; AND is true only if both are true. - Production rule format: IF THEN . The condition combines S and E; the action sets result = Pass. Step-by-step reasoning with a truth table for S and E: 1. Case S = true, E = false (student scored >= 50, no exemption) → OR is true → should PASS. 2. Case S = false, E = true (score < 50, but has exemption) → OR is true → should PASS. 3. Case S = true, E = true → OR is true → should PASS. 4. Case S = false, E = false → OR is false → should NOT pass. Compare the options: - A. IF score >= 50 OR exemption = YES THEN result = Pass — directly matches the required OR condition and yields the correct action for all four cases above. This correctly implements "at least 50 OR special exemption". - B. IF score >= 50 THEN result = Pass AND exemption = YES — incorrect because it makes the exemption part part of the THEN/action (it appears to set exemption = YES rather than treat it as an alternative condition). It also fails to grant Pass when score < 50 but exemption = YES. - C. IF score >= 50 AND exemption = YES THEN result = Pass — incorrect because AND requires both conditions; a student with score >= 50 but no exemption would not pass under this rule, which contradicts the statement. - D. IF score < 50 AND exemption = NO THEN result = Pass — completely wrong: this grants Pass only when both are false (score < 50 and no exemption), the opposite of the requirement. Therefore option A is correct. This confirms the provided answer: A.

Which of the following production rules CORRECTLY represents: "A student passes if their score is at least 50 OR they receive a special exemption"?Single choice

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