kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
14.3 Conditional Statements

We frequently come across statements like:
"If p then q" are called conditional statements and denoted as p=>q and read as p implies q.
Truth table for a conditional
p qp => q
TTT
TFF
FTT
FFT

A statement of the form "p if and only if q" are called biconditional statements and are denoted by p<=>q.
Biconditional Statement
Truth table for a biconditional
p qp <=> q
TTT
TFF
FTF
FFT

Regarding the truth values of p=>q and p<=>q, we have

  1. The conditional p=>q is false only if p is true and q is false. Accordingly, if p is false, then p=>q is true regardless of the truth value of q.
  2. The biconditional p<=>q is true whenever p and q have the same truth values, otherwise it is false.


Directions: Answer the following.
Q 1: Construct truth table for (p=>q) ^ (q=>p).
Answer:

Q 2: Let p: I will pass; q: Exam is easy, translate into symbolic form, If the exam is easy, then i will not pass.
p=>q
p<=>q
q=>~p

Q 3: Let p: I will pass; q: Exam is easy, translate into symbolic form, If the exam is not easy, then i will not pass.
~q=>~q
~p=>~q
~q=>~p

Q 4: Water is dry => Snow is hot. Write T or F.
F
T

Q 5: Let p: I will pass; q: Exam is easy, translate into symbolic form, The exam is easy if and only if i pass.
q<=>p
p=>q
p<=>p

Q 6: Let p: I will pass; q: Exam is easy, translate into symbolic form, If I don't pass, then the exam is not easy.
~p=>q
p=>~q
~p=>~q

Q 7: Construct truth table for [(~p) ^ q] => (p v q).
Answer:

Q 8: Let p: I will pass; q: Exam is easy, translate into symbolic form, If I pass, then the exam is easy.
p<=>q
p=>q
q=>p

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer