Have an account?
Skip to Content
Build your own quiz
10 questions
Show Answers
See Preview
- 1. Multiple ChoiceUse the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energyYou have more energyIf you exercise regularly, then you have more energyYou have a healthy bodyIf you do not have a healthy body, then you do not exercise regularly - 2. Multiple ChoiceUse the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the examI study for 1 hour each day.I do not study for 1 hour each dayIf I do well on the exam, I studied for 1 hour each day.not possible - 3. Multiple ChoiceIf possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 2, then 2x – 10 = –6.
Statement 2: x = 22x – 10 = –6x = 2If 2x – 10 = –6, then x = 2not possible - 4. Multiple ChoiceWhich law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent.
If all the sides of a triangle are congruent, then the angles opposite them are congruent.
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.Law of DetachmentLaw of SyllogismLaw of the ContrapositiveNot valid - 5. Multiple Choice
What is a valid counterexample for the following statement? "If an animal is a panther, then it lives in the forest."It lives in a zoo.No counterexample, this is true.It lives in an aquarium.It is a monkey - 6. Multiple ChoiceUsing the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, thereforelook out for the snowplows while driving to school.the big test will not be given today.the roads will be hard to drive on.you should call the school to see if school is canceled. - 7. Multiple ChoiceWhich law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent.
If all the sides of a triangle are congruent, then the angles opposite them are congruent.
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.Law of DetachmentLaw of SyllogismLaw of the ContrapositiveNot valid - 8. Multiple ChoiceWhich law of logic is this:
If I buy a dress, then I won't get chips.
I bought a dress.
Therefore, I won't get chips.Law of DetachmentLaw of ContrapositiveLaw of SyllogismLaw of Biconditional - 9. Multiple Choicep→q
q→r
∴p→r
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - 10. Multiple Choicep→q
p
∴q
Which law is modeled?Law of SyllogismLaw of DetachmentLaw of ContrapositiveLaw of Shannon - Answer choicesTagsAnswer choicesTags