Question 3.7. Construct the truth table for the following compound statements. (a) (pv-r) - 4 (d) -(PA) vr (g) pvq + pv ( gr)] (b) (gp) -- (e) -[(-p^g) vr] (h) QA-T -(vr) (c) + (pvo) (1) (p^-4) (rva) (i) p + 4)^(r 4) Question 3.8. (Fasy) Simplify the following Logical expressions using the laws of logie. (a) pvp (b) pv-p (c) -(pvp) (d) p (p ) (e) pv (p^) (1) p^(pva) (8) pap (h) p^ (pv) i) p (pvqvr) 6) (pg) (p^-4) (k) -(-pv-p) (I) (p^q) v(- ) Question 3.9. (Moderate) Simplify the following Logical expressions using the laws of logie (a) (-pv-)^(-pv) (b) quq-) (e) -pv (9^-p) (d) (pv-g) ^ (pva) (e) rv [rv (rap)] (1) PA (pv (pg)] (8) rv (TA-PAqA8) (h) -TA-rapuqis) Question 3.10. (Difficult) Simplify the following Logical expressions using the laws of logic (a) on (pv (-p )] (b) [p^-) V-p] (e) (-p ) [p^(pv)] (d) [pv (Pag)]^G (e) (p^-r) v(-p^g) v-(qar) (O) -( e) v ar) (B) [pv ( gr)]^(-pvr) (h) (pa-r) (p ) v-(par) () (par) (pg) (rn) 0) V- PAGA-r] (k) (pvr)^(-pvc) (rva) (1) -(PAG)^(-pva)^(-qva) Question 3.11. Which of the following statements are tautologies? (a) ( -) + - (b) (-p^g) +-4 (e) (-p ) --P (d) (pvo) +