### Home > CAAC > Chapter 6 > Lesson 6.1.3 > Problem 6-31

6-31.

In an “If…then…“ statement, the “if” portion is called the

**hypothesis**, while the “then” portion is called the**conclusion**. For example, in the statement “*If x*= 3*, then x*^{2}= 9,“ the hypothesis is “*x*= 3” while the conclusion is “*x*^{2}= 9.”Identify the hypothesis and conclusion of each of the following statements. Then decide if you think the statement is true or not.

**Justify**your decision. Homework Help ✎If −

*x*= 8 then*x*= −8.If 3

*x*+*y*= −11, then 6*x*+ 2*y*= −22.If Tomas runs at a constant rate of 4 meters every five seconds, then he will run 50 meters in 1 minute.

Identify the hypothesis and the conclusion.

The statement is true.

Follow the steps in part (a).

Follow the steps in part (a).