Inductive and Deductive Reasoning

1) Jason often comes to school late. His class starts at 7:30AM, so he wakes up at 6AM and leaves the house at 7AM for the 30 minute commute to school. Still he comes in late due to the unpredictable traffic situation. One day, he wakes up at 5:30AM, leaves the house at 6:30AM and is in school at 7:00AM. He does this for several days and gets the same result. What can he conclude?

2 ) Write a conjecture that is based on the given information.

     Given:

  Tilapia and Bangus are fish and they can swim.

  Tuna and Salmon are fish and they can swim.

  Sharks are fish and they can swim.

Give a counterexample to show that the given conjecture is false.

Given:

Premise: 16 is an even number and it is divisible by 4.

Premise: 32 is an even number and it is divisible by 4.

Conclusion: If a number is even, it is divisible by 4.

Give a counterexample to show that the given conjecture is false.

Given:

Premise: The ordered pair (2,3) consists of non-negative coordinates and is located on Quadrant I.

Premise: The ordered pair (5,11) consists of non-negative coordinates and is located on Quadrant I.

Conclusion: All ordered pairs with non-negative coordinates are located on Quadrant I.

Write a conjecture that is based on the given information.

  1) A student who attains a perfect score in the first quiz will be given extra credit. Kim attained a perfect score in the first quiz.

Write a conjecture that is based on the given information.

        2) No foreigner can be elected as the president of our country.

            Jin is a foreigner. 

Write a conjecture that is based on the given information.

        2) No foreigner can be elected as the president of our country.

            Jin is a foreigner. 

Write a conjecture that is based on the given information.

3)   All the residents in Biñan, Laguna are exempted from paying

            taxes.

JK’s parents reside in Biñan, Laguna.