Question

c) the inverse ~p → ~q
inverse: if the stars are not visible, then it is not night.
false, because this statement is not always true. for example, what if it’s cloudy? then the stars wouldn’t be visible.
d) the contrapositive ~q → ~p
contrapositive: if it is not night, then the stars are not visible.
this statement is always true. stars can only be seen at night.
□ visit www.bigideasmathvideos.com to watch the flipped video instruction for the \try this\ pr
try this video for extra example 3 - writing related conditional statements
let p be \you are in new york city\ and let q be \you are in the united states.\ write each statem
then decide whether it is true or false.

1. the conditional statement p → q

1. the converse q → p

integrated math 1 b credit 2

Explanation:

Step1: Write conditional statement

Conditional: If you are in New York City, then you are in the United States.
This is true because New York City is a city located within the United States.

Step2: Write converse statement

Converse: If you are in the United States, then you are in New York City.
This is false because there are many other cities and locations in the United States besides New York City (e.g., Los Angeles, Chicago).

Answer:

1. Conditional statement: If you are in New York City, then you are in the United States. True
2. Converse statement: If you are in the United States, then you are in New York City. False