Ch 1.7 Logic

Objective:

To identify the hypothesis and conclusion of a logic statement

Definitions

Hypothesis

Conclusion

Conditional StatementA statement in which P must happen in order for Q to occur.Generally written in the form: If P, then Q.

The part of the statement that must happen (P)The if part of the statement

The part of the statement that will occur (Q)The then part of the statement

Identify the hypothesis and the conclusion of each statement

1)

Examples

2)

If today is Tuesday, then tomorrow is Wednesday.hypothesis conclusion

If I study for the test, then I will get a good grade.hypothesis conclusion

3) If x + 2 = 3, then x = 1hypothesis conclusion

1)

ClassworkIdentify the hypothesis and the conclusion of each statement

If it is picture day, then I will dress nicely.

2) If there is an earthquake, then school will be canceled.

3) If it is winter, then it will be cold outside.

4) If a = b, then b = a.

Identify the hypothesis and the conclusion of each statementThen rewrite each statement in if-then form

4)

Examples

5)

I carry my umbrella when it is raining.hypothesisconclusion

6)

If it is raining,

My phone will die if I don’t charge the battery.hypothesisconclusion

If I don’t charge the battery,

I can go to the lacrosse game after I finish my homework.hypothesisconclusion

If I finish my homework,

then I carry my umbrella.

then my phone will die.

then I can go to the lacrosse game.

5)

Classwork

The water will freeze if the temperature is 32° F.

6) Samantha walks with Blake when Jessie rides his bike.

Identify the hypothesis and the conclusion of each statementThen rewrite each statement in if-then form

Classwork

7) The rainbow appeared after it rained.

8) We will watch the hockey game if the tv is working.

Identify the hypothesis and the conclusion of each statementThen rewrite each statement in if-then form