Truth Values of Compound Sentences Worksheets

What Are the Truth Values of Compound Sentences? Here is the method to find such values without a truth table. Also, we have listed some logical operations in order of operator precedence. () Parenthetical Expressions, ∼ Negation (NOT), ∧ Conjunction (AND), ∨ Disjunction (OR), → Conditional (IF, THEN). Q1. Let p signify "7 < 2" and q characterize "4 > 3". Find the truth value of ∼p ∧ q. The value of p = 7 < 2 is FALSE. In addition, q = 4 > 3 is TRUE. So, here, you will find the truth value without table. In table, you had p and q rather than all the combination you have to write in one row, p is FALSE and the q is TRUE. Then, you will find ∼p ∧ q. You will write ∼p in its own column. And, in another column, you will write ∼p ∧ q. For the value p, it is FALSE? Then, you will suppose p is TRUE because of ∼p. Now, solve ∼p ∧ q. Here, the p is FALSE. But, ∧ separate them so they both need to be TRUE. So, q is TRUE. The value of ∼p ∧ q = TRUE.