Chapter 9, Problem 3AYK

Send me correct and original answer from your knowledge but if you'll copy the i'll mark multiple dislikes

Given propositions p, q, and r, p is true, q is false, and r’s status is unknown at this time. Tell whether each proposition is true, is false, or has unknown status at this time. Show the truth tables. Show the step by step answer for b and c.

From the truth table for A ∨ B, the value of A ∨ B is true if A is true, if B is true, or if both are true. This use of the word “or,” where the result is true if both components are true, is called the inclusive or. It is the inclusive or that is understood in the sentence, “We may have rain or drizzle tomorrow,” which might also be expressed as, “We may have rain or drizzle or both tomorrow.” Another use of the word “or” in the English language is the exclusive or, sometimes written XOR, in which the result is false when both components are true. The exclusive or is understood in the sentence, “At the intersection, you should turn north or south,” (but obviously not both). Exclusive or is symbolized by A ⊕ B. Write the truth table for the exclusive or.