Compare AND with OR

5 questions0m 0s

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AND requires both conditions. Inclusive OR means at least one condition, including both. State whether OR is inclusive; do not silently treat it as exactly one condition.

Worked example

For even and negative: -4 satisfies both, 3 satisfies neither, 2 is even only and -3 is negative only. With inclusive OR, -4, 2 and -3 qualify.

For values -4, -3, 0, 2, 5: AND accepts only -4; inclusive OR accepts -4, -3, 0, 2. Five satisfies neither. — Inclusive OR includes the overlap.

Two Filters, One List

Use the list -4, -3, 0, 2, 5. Condition A is even. Condition B is negative. Zero is even because it equals 2 times 0, but zero is not negative. In this exercise, OR always means inclusive OR: at least one condition, including both.

Question 1 How many listed values satisfy A AND B? Answer

Question 2 How many listed values satisfy A OR B? Answer

Question 3 How many listed values satisfy neither condition? Answer

Question 4 Why does 0 qualify for the OR filter? It is even, although not negative It is negative Zero always fails every rule

Question 5 How many more values qualify for OR than for AND? Answer