Given that a is false and b is false. Which of the following is FALSE? Oa + b Oa - b Oavb O-a A-b

Q: 3. Determine whether the given statements are equivalent. a. If a = b, then a c = b·c If a + b, then…

A:

Q: If P(A)=0.70, P(A^/B)=0.30 %3D Then A,B are independent Select one: O True False

A: Solution: From the given information,

Q: Given: p and r are True; q and s are False 1. pV-qV-r. 2. (q V - p)= -r. 3. qArA-s. _

A: we have been given that p and r are True and also q and s are False  first, we will find the answer…

Q: Ifb+c- 2a, c+a – 26, a +b – 20 ,1 are in A.P., then prove that are also in A.P. a a b c

A:

Q: Given the statement p and q such that p: John is tall; q: John is fat. The statement - pA ~q is…

A: Give the statements  P : John is tall q : John is fat  To find :-  The equivalent statement to ~p^~q

Q: Which of the following statements is true? A x=-+C 3 dr=3 In(3) +C

A:

Q: 2. Determine whether the given statements are EQUIVALENT or NOT EQUIVALENT: a) If I save $1000, I…

A: 2.) a.) If I save then only I will go to the field trip doesn't mean that I will go on the field…

Q: Provide the contrapositive to the statement below, then use a proof by contrapositive to prove that…

A: Solution

Q: Which of the following are correct statements if B = (1, 2, 3, 4, 5, 6) ? * BC (1, 2, 3, 4, 5,6, 7}…

A: Given: B=1, 2, 3, 4, 5, 6

Q: Select the true statement. O ABCD = IJKL so = CD O ABCD = IJKL so 4 = 4 O ABCD - IJKL so 4 = ABCD -…

A: Step:-1 Given figure is To rotate a figure 90° about origin, we first find the co-ordinates of…

Q: Given △TOP is similar to △CAT . If OPAT = 5/2, which of the following statements is true?   a)…

A:

Q: The statement (-P Q) A Q is true when? 2020 a. P: False Q: True b. P: True Q: True c. P: False Q:…

A: The logical symbol "∧" is used to denote "AND". The logical symbol "↔" is used to denote "IF AND…

Q: Determine whether A =B, AC B, BCA, ACB, B CA, or if none of these applies. A = {Saturday, Monday,…

A: We have to identify the correct representation of the given sets.

Q: Prove the following statement: a If A = b and ad - bc + 0, 1 d -b then A ad – bel-c a

A: we have to prove the following statement: if A=abcd and ad-bc≠0 then A-1=1ad-bcd-b-ca

Q: Suppose p is true, q is true, r is true, s is false. Then (-p v s) v (q ar) O True O False

A:

Q: Given: If X, then not Y. If not Y, then Z. Y is true. So: 1) x is true, z is true 2) x is unknown,…

A: Given that X→¬Y                  (1) ¬Y→Z                  (2) Since if X, then not Y does not…

Q: Ann says "I never lie." Bob says "Ann is not lying." Carol says "Bob is lying." Dan says "Carol is…

A: FOR THE GIVEN STATEMENT

Q: Which compound statement is TRUE? O A triangle has 1 side and 3-2=1 O 223 and a triangle has 1 side…

A:

Q: If A C B and BC C, then A C. True False 4 If A C B and B C C, then A C. True False

A:

Q: If p, q and r are all FALSE statements, which of the following is TRUE? O a. ~p+ (q V r) O b. ~q→…

A:

Q: 4. Assume that A and B are Falsc, and C, D, and E are Truc, which of the following sentences are…

A:

Q: Which of the following is false? Ot x 7 = (7 x u) U X v =

A: Solution: The objective is to determine the correct option

Q: Let A = {2,4, 6, 8}, B = {3,4,5,6} and D = {4,5}, Which of the following statements is/are true?…

A:

Q: Given: If A and B, then C. Given: The if-then statement's reverse is also correct. If A is True, B…

A: This is logic based question

Q: Which of the following are correct statements if B = (1, 2, 3, 4, 5, 6} ? O Bc {1, 2, 3, 4, 5,6, 7}…

A: Consider the set B is, B={1,2,3,4,5,6} Consider the example A⊂B, it states that every element of A…

Q: Let A = {c, d, f, g), B = {f, j}, and C = {d, g). BcA A True B) False

A: topic - sets

Q: Evaluate (p = q) = rand p = (q = r)? O They are equivalent O They are not equivalent O They are both…

A:

Q: Given: If X, then not Y. If not Y, then Z. Y is true. So: (A) X is false, Z is unknown B) X is true,…

A:

Q: If Ac B and A c D, then B c D. True False

A:

Q: D. Evaluate the truth and Falsity of each of the following statement and support your answers? Let A…

A:

Q: 10. Write a valid conclusion for each argument A) ab B) a-b C) аль a

A: (a). For the given argument  a↔b~a--- Since the first argument is a is implies and implied by b and…

Q: Which statements can be deduced from the picture? (Select ALL that apply) ∠1 ≅ ∠2∠1 ≅ ∠2 ∠5…

A:

Q: Find P(AorB) if P(A)=0.3, P(B)=0.5 and A and B are independent

A: P(A) = 0.3 P(B) = 0.5

Q: 2. a+b+c=c+b+a is true because of

A:

Q: Given: If X, then Y. If Y, then Z. Y is true. So:   a) x is unknown, z is unknown b) x is…

A:

Q: If A and B are mutually exclusive, and if P(A) = 0.1 and P(B) = 0.4, what is P(AUB)? P(AUB)=

A: It is given that, P(A) = 0.1 and P(B) = 0.4.

Q: In ДАВС which of the following is FALSE? ) A. AB + BC + CẢ = 0 B. AB + BC – AC = 0 C. AB + BC – CẢ =…

A: Given triangle ABC,  To find the equation satisfying vector addition of sides.

Q: Given: If X, then Y. If Y, then Z. Y is true. So: X is unknown, Z is unknown X is unknown, Z is true…

A: It is given that “If X, then Y. If Y, then Z”. From the given statement it is clear that, If X, then…

Q: If A - B and B = C, then A ~ C. True False

A: Given that A~B, And also given that B=C Then obviously that means B~C Which implies that A~B~C

Q: q? then 5 • b? 6(а +b)2 — 12ab > 22 Prove if a,b > 0 b? 2 a' ab

A: Solution is given below:

Q: Let A = {1,2} and B = {3,4}. Prove or disprove the statement: “ If C = A × B , then |C| = 4 "

A: We will use the concept of multiplication of 2 sets and then we will find the cardinality.

Q: Evaluate (p = q) → rand p = (q = r)? O They are equivalent O They are both false O They are not…

A: Given (p⇒q)⇒r and p⇒(q⇒r) Since we know that A⇒B≡¬A∨B So (p⇒q)⇒r≡¬p∨q⇒r≡¬¬p∨q∨r≡(p∧¬q)∨r        (1)

Q: Which statements can be deduced from the picture? (Select ALL that apply) 1/2 8. 7/4 6/5 O 41 2 2 O…

A:

Q: 3) If dla + b, then dla or d\b. a) True b) False D a) True O b) False

A: 3 We have to check whether the given statement, "If d|a+b then d|a or d|b" is true or false. Counter…

Q: 4. Given: BC + BE = AD, BE = EF Reason: Conclusion: BC + EF = AD

A:

Q: Which of these statements is False? А. (а?)3 — а6 Вв. а?а — а = a' a2 C. a3 = a-1 D. a? + a³ = a°

A:

Q: Is the following statement true or false? 1 3 -2 b с 1 4 -3 -2 a 2 Select one: True O False I 3 a b…

A: This question is based on transpose of matrix.

Q: Choose the correct answer to the question below: * Which of the followingis logicallyequivalent to -…

A:

Q: If me7 = 55°, which of the following statements are true? Select all that apply. 7/8 A me6 = 55° B.…

A: sum of angle in a line is 180 degrees

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.