More Subjects

Maths Survey

Author

Institution

Maths Survey

Question No: 01

Write the statement in symbolic form:

P= the chilly is spicy

Q= the sour cream is cold

It is false that if the sour cream is not cold then the chilly is spicy

Symbolic form: ~q p = false

Question No: 02

Write the statement in symbolic form

q= the temperature is 90 degree

p= the air conditioner is working

r= the apartment is working

If the air conditioner is working then the temperature is 90 degrees, if and only if the apartment is hot

Symbolic form: qp r

Question No: 03

Write the statement in symbolic form and create the truth table

I am hungry, and I want to eat healthy lunch and I want to eat in hurry

Symbolic Form: p ^ q ^ r

Truth Table:

p

q

r

p ^ q ^ r

T

T

T

T

F

T

T

F

T

F

T

F

F

F

T

F

T

T

F

F

F

T

F

F

T

F

F

F

F

F

F

F

Question No: 04

Determine the truth value of the statement if p is true, q is false, and r is true

~p ^ (~q v ~r)

p

q

r

~p

~q

~r

(~q v ~r)

~p ^ (~q v ~r)

T

F

T

F

T

F

T

F

Question No: 05

Construct a truth table for

(p ^q) (q v r)

p

q

r

p ^ r

q v r

(p ^q) (q v r)

T

T

T

T

T

T

F

T

T

F

T

F

T

F

T

T

T

T

F

F

T

F

T

F

T

T

F

T

T

F

F

T

F

F

T

F

T

F

F

F

F

T

F

F

F

F

F

T

Question No: 06

If p is true, q is false, and r is true then truth value of the statement

r (~p~q)

p

q

r

~p

~q

~r

~p~q

r (~p~q)

T

F

F

F

T

T

F

T

Question No: 07

If Joanne goes to sabre games, then she will not got to Bill games.

If Joanne goes to sabre games = p

She will not go to Bill games = ~q

p~q

Equivalent form:

If Joanne will not go to Bill games = ~p

She will go to sabre games = q

~p ^ q

Question No: 08

Write the contrapositive of the statement

If the quadrilateral is a parallelogram then the opposite sides are parallel

Quadrilateral is a parallelogram = p = true

Opposite sides are parallel = q = true

p q

Contrapositive:

If the quadrilateral is not a parallelogram then the opposite sides are not parallel

Quadrilateral is a not parallelogram = ~p = true

Opposite sides are not parallel = ~q = true

~p~q

Question No: 09

You solve the NewYork Time crosswords puzzle= p

You are genius= q

If you solve the New York Times crossword puzzle then you are genius = pq

You are not genius = ~q

Therefore, you did not solve the New York Times cross word puzzle = ~p

Symbolic form:

((pq) ^ ~q) ~p

Truth Table

p

q

~p

~q

pq

((pq) ^ ~q)

((pq) ^ ~q) ~p

T

T

F

F

T

F

T

T

F

F

T

F

F

T

F

T

T

F

F

F

F

F

F

T

T

T

T

T

The argument is invalid

Question No: 10

Engineering courses are difficult= p

Chemistry labs are long= q

Arts test are easy =r

The engineering courses are difficult and chemistry labs are long = p ^q

If chemistry tests are long then arts tests are easy = pr

Therefore, the engineering courses are difficult and arts tests are not easy = p ^ ~r

Symbolic form:

((P ^ q) ^ pq) p ^ ~r

p

q

r

~p

~q

~r

p ^q

pr

p ^ ~r

((P ^ q) ^ pq) p ^ ~r

T

T

T

F

F

F

T

T

F

F

T

T

F

F

F

T

T

F

T

F

T

F

T

F

T

F

F

T

F

F

T

F

F

F

T

T

F

F

T

F

F

T

T

T

F

F

F

F

F

F

F

T

F

T

F

T

F

T

F

F

F

F

T

T

T

F

F

F

F

F

F

F

F

T

T

T

F

T

F

F

The argument is not valid

More Subjects

(5614)

(2294)

(1760)

(1684)

(929)

(743)

(572)

(446)

(429)

(347)

(310)

(300)

(288)

(249)

(238)

(140)

(109)

(92)

(64)

(53)

(30)

(25)

(8)

(3)

(3)

(2)

(1)

(1)

(1)

(1)

(1)

(1)

(1)

Join our mailing list

Invalid Email Address!

Thank you for joining our mailing list

@ All Rights Reserved 2023 info@freeessaywriter.net