### Home > AC > Chapter 6 > Lesson 6.1.3 > Problem6-31

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.

1. If $−x=8$ then $x=−8$.

2. If $3x+y=−11$, then $6x + 2y = −22$.

3. If Tomas runs at a constant rate of $4$ meters every five seconds, then he will run $50$ meters in $1$ minute.

$- x = 8 \text { then } x = - 8$

Identify the hypothesis and the conclusion.

The statement is true.
$3 x + y = - 11 , \text { then } 6 x + 2 y = - 22$

Follow the steps in part (a).

$3 x + y = - 11 , \text { then } 6 x + 2 y = - 22$

Follow the steps in part (a).