# Connectives and Truth Values

In English, simple statements are combined with connecting words like and to make more interesting compound statements.

Questions #: 20
Pass Score: 80.0%

The truth value of a compound statement depends on the truth values of its parts and which connecting words are used. If we combine the two true statement, “Dinosaurs are big,” and,
“soccer balls are round,” we would consider the resulting statement, “Dinosaurs are big and soccer balls are round,” to be true.

#### The below symbol represents ______

and
or
not
Non of the above

#### The below symbol represents ______

and
or
not
Non of the above

#### The below symbol represents

or
and
implication
Non of the above

equal
equivalence
match
connector

#### Select the right conjunction form

A = Samir is tall

B = Tamer is short

Samir is tall and Tamer is short

a) A ∧ B         b) A ∨ B         c) A → B           d) A ¬ B

A
B
C
D

#### What is the truth value of the following conjunctions?

1. If A is true and B is false, what truth value would you assign to A ∧ B?
2. If A is false and B is true, what truth value would you assign to A ∧ B?
3. If A and B are both false, what truth value would you assign to A ∧ B?

Choose from the following options

true, false, true
false, true, true
false, false, true
false, false, false

#### What is the missing truth value in the following truth table?

 A B A ∧ B T T T T F F F T ? F F F
True
False

#### What is the missing truth value in the following truth table?

 A B A ∨ B T T T T F T F T ? F F F
True
False

1. A ¬ B
2. A ∧ B
3. A → B
4. A ∨ B
a
b
c
d

#### Consider the following example to fill in the implication truth table

Your friend promised that if he/she passes the exam, then he/she will go to Friday soccer game. If your friend passes the test and goes to watch the soccer game, the remark was true. If your friend passes the test but doesn’t go to watch the soccer game, the remark was false. If your friend doesn’t pass the test, then—whether he/she goes to watch the soccer game or not—you could not claim that the remark was false. You would probably want to give the benefit of the doubt and say that the statement was true. By convention, A → B is considered true if A is false, regardless of the truth value of B.

 A B A → B T T T F F T F F

Choose from the following options which are ordered from top to bottom

F, T, F, T
F, F, T, T
T, F, T, T
T, F, F, T

#### Is the following claim correct?

If A → B is true, then A must be true

Correct
Incorrect

#### Is the following sentence correct?

Given A → B

while the truth of A implies the truth of B, the truth of B does not imply the truth of A

Correct
Incorrect

#### What does the following expression stand for?

A ↔ B

1. (A → B) ∧ (B → A)
2. (A ∧ B) ∨ (B ∧ A)
3. (A ∨ B) ∧ (B ∨ A)
4. (A ¬ B) ∨ (B ¬ A)
a
b
c
d

#### Complete the missing truth values

 A B A → B B → A (A → B) ∧ (B → A) T T T T T T F F T ? F T T F ? T T T T T

which one of the following options which are ordered top down

T, T
T, F
F, T
F, F

#### If A = true, then A' = _____

true
false
Invalid connective

A'
A"
-A
A-

#### The following is a legitimate expression

A )) ∧ ∧ → BC

True
False

#### Arrange connectives in order of precedence

1. ∧ ∨
2. '
3. →
4. connectives within parentheses, innermost parentheses first
5. ↔
Please drag and drop the selected option in the right place or type it instead
a
b
c
d
e

#### What is the main connective in the following formula

((A ∨ B) ∧ C) → (B ∨ C')

1. '
2. Parentheses
a
b
c
d
e

1. 2 * n
2. 2 + n
3. n2
4. 2n
a
b
c
d