Let p = 'Three is greater than five and q = "Eleven is a prime number." What is the following compound expression in words? pv 19 It is not the case that both three is greater than five and eleven is a prime number. Three is not greater than five and eleven is a prime number. Three is greater than five and eleven is not a prime number. It is not the case that either three is greater than five or eleven is a prime number. Three is not greater than five or eleven is a prime number. Three is greater than five or eleven is not a prime number. Three is not greater than five and eleven is not a prime number. Three is not greater than five or eleven is not a prime number. If three is greater than five then eleven is a prime number. If eleven is a prime number then three is greater than five. If three is not greater than five then eleven is a prime number. If eleven is not a prime number then three is greater than five. Three is greater than five if-and-only-if eleven is a prime number. Three is not greater than five if-and-only-if eleven is not a prime number. QUESTION 9 Which of the following compound statements are tautologies? 1) (pva) 2) (- ) - a. Statement 1 b. Statement 2 c. Both d. Neither QUESTION 10 Which of the following compound statements are contradictions? 1) (pva)^(199) 2) (pvn)^(-paq) O a Statement 1 b. Statement 2 c. Both d. Neither to me all answers. Question compresonats. QUESTION 11 Identify the law of logic used in the following simplification step: ((p Aq) r) v-(q) h) =T a. absorption law b. annihilation law c.idempotent law O d. identity law e. inverse law QUESTION 12 Identify the law of logic used in the following simplification step: (p Aq) T=pq a. absorption law b.annihilation law c. idempotent law d. identity law e. inverse law QUESTION 13 Identify the law of logic used in the following simplification step: (q) v (r) =png a. absorption law b. annihilation law c.idempotent law d. identity law e. inverse law QUESTION 14 Identify the law of logic used in the following simplification step: 79179= 79 O a absorption law b. annihilation law c.idempotent law d. identity law e. inverse law Question Completion Status: QUESTION 15 Match the set operation with its definition ANB AUB a.(x|x A and x E B) b.[x|x A or x B) c.[x|x 4 and x A) d. (x|x A and B) | AC |A-B QUESTION 16 Given the predicate form of the set below, find the enumerated form. (x Z|(x + 2)(x-3)=0} O a. (2,3) Ob(-2,3) Oc.(-3,2) Od (-3,-2) QUESTION 17 anumerated form. QUESTION 17 Given the predicate form of the set below, find the enumerated form. [x6z|7x+3=0) 01 (1) O O-{}] 045) QUESTION 18 Given set A determine if the following statements are true or false. (Enter T for true and F forfalse) -((a)b.(c), (d.e)f.g) a) 0EA b) (9) EA c) (a)ca d) (b)CA Question completion Status QUESTION 19 Given the sets A=(5,7,9) and B={x,y) then BxA= a. [(x,5).(x,7).(.5).(v.7).(2,5),(2,7) Ob.{(x,5),(x,7).(y,5).(v.7)} c. {(x,5),(x,7),(x,9).(y,5),(v.7).(5,9)} Od.[(5,x),(5.y).(7,x),(7.y).(9,x),(9,7)} Oe. [(5,x),(5.y),(7,x),(7.7)] Of. [(5,x),(5,y),(5,2),(7,x),(7.7).(7.2)) QUESTION 20 Given the sets A=(x,y) and B=(5,7,9) then BxA= a.[(x,5).(x,7).(.5).(v.7).(2,5),(2,7) Ob.((x,5).(x,7).(6,5)(v.7) Oc.[(x,5),(x,7).(x,9).(7,5).(v.7).(7.9)) Od. {(5,x),(5.7).(7,x),(7.7).(9,x),(9.7)] Oe [(5,x),(5.7).(7,x),(7.7)} Of. ((5,x),(5,7).(5,2).(7,x),(7.7).(7.2) QUESTION 21 If A={a,b,c,d,e) then 19(A) = QUESTION 22 If JAL=7 then 19(A) = QUESTION 23 Given U ={a,b,c,d,e.f.g.h.1.J). A={b,df.h.j), B =(e.f.g.hij) find the following sets. AUB IAC BC a. (b,d,e.f.g.hij b.(a.c.e.g.1) c.(b,d) d. (f.hj) e.{e,g.1) f. (a.c) g.(a,b,c,d,e,g.1) n.(a,b,c,d) (AUB) (ANB) A'UB AMBC | A-B B-A QUESTION 24 QUESTION 24 What set does the below Venn diagram picture represent? B . O. OC.AUB OdANB Oe. A Ot. B O9. (AUB) Oh (ANB) Oi. A-B Oi B-A QUESTION 25 What set does the below Venn diagram picture represent? B . O. OC. AUB OdANB Oe. A Ot. Be Og(AUB) Oh. (ANB) Oi. A-B O. B-A Question Completion Status: QUESTION 26 What set does the below Venn diagram picture represent? B Oa. A O. Oc. AUB OdANB Oe. A Ot. Bo Og (AUB) On (ANB) Oi A-B O. B-A OTION 27 pletion Status QUESTION 27 What set does the below Venn diagram picture represent? . O. OC. AUB OdANB Oe. A Ot. B Og.(AUB) On (ANB) Oi. A-B O. B-A QUESTION 28 Simplify the following Boolean expression: x(xy'' Ox'y' x'y Oxy QUESTION 29 Simplify the following Boolean expression: x'y + x(x + y). Ox'+y Oxy' Ox+y Oxy QUESTION 30 Ilan Dono potions WOCOTTON Find the Boolean algebra expression for the following circuit: 1 y (xx)' + V (x + v)' xy (xxy') + V (x + y)xy QUESTION 31 Find the Boolean algebra expression for the following circuit. (x + y)'xz to say all answers Question completion Su. QUESTION 32 Find the Boolean algebra expression for the following circuit: 1 y D O (x'y + y)(x + 2) (X' + v)v(x + 2)' (x'y + y) + (x2) O(x'+y)y + (xz)' QUESTION 33 Below is the truth table for some function. Write the product-of-sums form of the function. QUESTION 33 Below is the truth table for some function. Write the product-of-sums form of the function 0 0 1 1 y 0 1 0 1 0 0 1 0 O a (x + y')(x+y) Ob.(x+y) Oc(x + y)(x + V'(x' + y) Od(x+y)(x'+y") Question Completion Status: QUESTION 34 0 Below is the truth table for some function. Write the sum-of-products form of the function. y (r,y) 0 0 1 0 1 0 1 0 1 11 0 O a. x'y + xy Ob. xy' + xy c. x'y' + xy' O d. X'y' + x'y QUESTION 35 Below is the truth table for some function. Write the product-of-sums form of the function 2 1 1 1 1 0 0 0 0 y 1 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 f(x, y, z) 1 1 0 0 0 0 1 1 O (x' + y' + z')(x' + y + z')(x + y' + z')(x + y' + z) O (x' + y + z')(x' +y +z)(x + y' + z')(x + y' +z) O(x' + y' + z')(x' + y + z')(x + y' + z')(x + y + z") O (x' + y + z)(x' + y + z')(x + y + z')(x + y +z) OTION 36 of the function 2llty+z) (x'+y' + z)(x'+ y + z')(x + y + z')(x + y + z) QUESTION 36 Below is the truth table for some function. Write the sum-of-products form of the function. y 2 f(x, y, z) 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 Oxyz' + xy'z' + x'y'z + x'y'z' O xyz + xyz' + x'y'z + x'Y'z' O xyz' + xy'z' + x'yz' + x'y'z' O xyz + xy'z' + xyz + x'yz' nd submit. Click Save All Answers to save all answers