Question 4: Determine if pair of statements A and B are equivalent or not, using truth table. A. (~qp)^~q в. р л~9
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- The truth table for (p v g) v (par) is the same as the truth table for A. (p v q) A (p vr) В. (рла) vр- C. (p v q) A r- D. (p v q) ^ (^ r). E. pv q.a. Complete the truth tables for each expression. Add/adjust columns if needed. Obey the order of operations. Also the last operation you perform should be the column on your truth table. 1.a.I_p v ~p v r →q^~q ~p т т т т F т т 1.a.II._p v q ^r^ (p v r) т т тDetermine the truth value of each compound statement when p is false, q is false, and r is true. ~pV (q ^ r) (~ p^r) ^q (~ q ^ ~ p) V ~ r ? (~p V ~ q) V ~ r ? (p^ ~ q) V r ?
- Complete the row of each truth table. Use T for true and F for false, b ~a^b cv(~ anb) C аль | T F ~p ~ (qv~p) - (qv ~p)ar r qu~p F. F T. TLet p and q represent the following statements. p: 2+6=7 q: 8x3=48 Determine the truth value for the statement ~рлq. Choose the correct truth value below. ~p^q is false. O ~p^q is true.(1 point) Complete the truth table for the following statement: 2 T P 17 9 ΤΤ TF FT FF ~p ~q (p^~g) ^ (~pVg) P^~q ~pvq (p^~q) ^ (~pVg)
- Using truth tables, determine which of the following are valid arguments? (а) рVq .'. p (b) p^qAr ... r (с) р — 9, трLet p represent the statement "Jack goes camping this weekend." Let q represent the statement "Jack plays golf this weekend." Which symbolic notation represents the statement "If Jack goes camping this weekend, then he will not golf." ? A. p→~9 C. ~p → ~q B. ~p →4 D. p ^~q O AComplete the truth table for the given statement by lling in the required columns. B. qV(q^-p) C. (p^-q) V (-p^q) D. (p---->q) ^-q E. (p V q) --->(p ^ q) F. (p <---->q) --->-p
- Q.5) Use a truth table to determine whether the argument is valid or invalid. а. p ->~q b. (~p v q) ^ (~p ->q)1. Determine the truth value of the compound statement given that p is a false statement, qis a true statement and ris a true statement. a.r^ (~ pv q) b. p v (~ p v ~ q) ç.~ (~ p v r) ^ [~ p^(r v ~ q)]Use De Morgan's laws to write a statement that is equivalent to the following statement. ~(qvp) Choose the correct answer below. qv-p ~q^~p ~qv-p q^p
