1 Mathematical Statements, Operations on Statements, Truth Tables (Problems)

Is this a mathematical statement?

p : 1 + 1 = 2

Yes

Is this a mathematical statement?

s : The Philippines has more than 7,000 islands

Yes

Is this a mathematical statement?

Math 10 is a GE Course

Yes

Is this a mathematical statement?

I am a UP student.

Yes

Is this a mathematical statement?

If cats are mammals, then mice are reptiles

Yes

Is this a mathematical statement?

Happy Birthday!

No

Is this a mathematical statement?

Message me.

No

Is this a mathematical statement?

Can we be friends?

No

Is this a mathematical statement?

5 + 1

No

Is this a mathematical statement?

x + 3 = 0

No

Is this a mathematical statement?

Mathematics is interesting

No

Is this a mathematical statement?

7 is a lucky number

No

Is this a mathematical statement?

q : 2 + 3 = 6

No

Is this a mathematical statement?

r : All roses are red.

No

Is this a mathematical statement?

What is your name?

No

Is this a mathematical statement?

x < y

No

Is this a mathematical statement?

Please open the door.

No

Is this a mathematical statement?

π is a special number.

No

T ∧ T

True

T ∧ F

False

T ∨ T

True

T ∨ F

True

F ∨ T

True

T → T

True

F → T

True

F → F

True

T → F

False

T ↔ T

True

F ↔ F

True

T ↔ F

False

¬F

True

¬T

False

T ∧ F

False

F ∧ T

False

F ∧ F

False

F ∨ F

False

T → F

False

T ↔ F

False

F ↔ T

False

Truth Table: p → ~q

Truth Table: (∼ p ∧ q) →∼ r

Truth Table: p ↔∼ q

Truth Table: p ∨ (q ∧ r)

Truth Table: ∼ q →∼ p

Truth Table: (∼ p ∨ q) ↔ (p → q)

Truth Table: (∼ p ∧ q)∨ ∼ (r →∼ q)