To determine the truth value of the proposition "p OR q," we need to consider the different possibilities.

a. If both p and q are true, then the proposition "p OR q" is true. This is because the "OR" operator only requires one of the statements to be true for the entire proposition to be true.

b. If either p or q is true, then the proposition "p OR q" is true. Again, the "OR" operator only needs one of the statements to be true for the entire proposition to be true.

c. If neither p nor q is true, then the proposition "p OR q" is false. In this case, both statements are false, so the entire proposition is false.

d. If both p and q are false, then the proposition "p OR q" is false. Since neither statement is true, the entire proposition is false.

Therefore, the truth value of the proposition "p OR q" is true if either p or q is true (options a and b), and false if both p and q are false (options c and d).

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To determine the truth value of the proposition "p OR q," we need to consider the different possibilities.

a. If both p and q are true, then the proposition "p OR q" is true. This is because the "OR" operator only requires one of the statements to be true for the entire proposition to be true.

b. If either p or q is true, then the proposition "p OR q" is true. Again, the "OR" operator only needs one of the statements to be true for the entire proposition to be true.

c. If neither p nor q is true, then the proposition "p OR q" is false. In this case, both statements are false, so the entire proposition is false.

d. If both p and q are false, then the proposition "p OR q" is false. Since neither statement is true, the entire proposition is false.

Therefore, the truth value of the proposition "p OR q" is true if either p or q is true (options a and b), and false if both p and q are false (options c and d).

Knowee AI · Accepted Answer

To determine the truth value of the proposition "p OR q," we need to consider the different possibilities.

a. If both p and q are true, then the proposition "p OR q" is true. This is because the "OR" operator only requires one of the statements to be true for the entire proposition to be true.

b. If either p or q is true, then the proposition "p OR q" is true. Again, the "OR" operator only needs one of the statements to be true for the entire proposition to be true.

c. If neither p nor q is true, then the proposition "p OR q" is false. In this case, both statements are false, so the entire proposition is false.

d. If both p and q are false, then the proposition "p OR q" is false. Since neither statement is true, the entire proposition is false.

Therefore, the truth value of the proposition "p OR q" is true if either p or q is true (options a and b), and false if both p and q are false (options c and d).

The truth value of the proposition "p OR q" is true if:a.Both p and q are trueb.Either p or q is truec.Neither p nor q is trued.Both p and q are false

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