Question

conditional statements
teacher voice – a conditional statement is a logical statement that has two parts, a hypothesis p and a conclusion q. when a conditional statement is written in if - then form, the “if” part contains the hypothesis and the “then” part contains the conclusion.
words if p, then q. symbols p → q (read as “p implies q”)
example 1 – rewriting a statement in if - then form
identify the hypothesis and the conclusion of the statement. then rewrite the statement in if - then form.
a) all 30° angles are acute angles.
hypothesis: all 30° angles conclusion: acute angles
if - then - form: if an angle measures 30°, then it is an acute angle.
b) 2x + 7 = 1, because x = - 3.
hypothesis: x = - 3 conclusion: 2x + 7 = 1
if - then - form: if x = - 3, then 2x + 7 = 1
visit www.bigideasmathvideos.com to watch the flipped video instruction for the “try this” problem(s)
try this video for extra example 1 – rewriting a statement in if - then form
identify the hypothesis and the conclusion of the statement. then rewrite the statement in if - then form.

1. x > 5 if x > 3.
2. all members of the soccer team have practice today.

integrated math 1 b credit 2

Explanation:

Step1: Identify hypothesis for 1)

The "if" part is $x > 3$.

Step2: Identify conclusion for 1)

The result part is $x > 5$.

Step3: Rewrite 1) in if-then form

Combine hypothesis and conclusion.

Step4: Identify hypothesis for 2)

The subject part is "a person is a soccer team member".

Step5: Identify conclusion for 2)

The result part is "they have practice today".

Step6: Rewrite 2) in if-then form

Combine hypothesis and conclusion.

Answer:

1)
Hypothesis: $x > 3$
Conclusion: $x > 5$
If-then form: If $x > 3$, then $x > 5$.

2)
Hypothesis: A person is a member of the soccer team
Conclusion: The person has practice today
If-then form: If a person is a member of the soccer team, then they have practice today.