Page 270 - Algebra 1

Write Use the given hypothesis to write a true or false conditional statement.
4. Write a true conditional statement: If you stay in the sun too long, ....
5. Write a true conditional statement: If a student has a temperature higher than 101 degrees, ....
6. Write a false conditional statement: If a number is divisible by 5, ....
The statement “If a figure has four sides, then it is a square” is false. It is not true because a rectangle has four sides, but a rectangle is not a square. An example that contradicts a statement is called a counterexample. One counterexample is sufficient to show that a statement is false.
Provide a counterexample for each statement.
7. The sum of a positive number and a negative number is negative. 8. If a student is a teenager, then she is 14 years old.
Investigation Practice
Identify the type of reasoning used. Explain your answer.
a. My friend has an allergic reaction when he eats peanuts.
b. If a driver sees a red light, she should stop.
Use the given hypothesis to write a true or false conditional statement.
c. Write a true conditional statement: If it rains today, .... d. Write a false conditional statement: If x = 2, ....
Use the diagram to write a counterexample for each statement.
Animals
Cats
e. If an animal is a cat, then it is Siamese.
f. All female cats are Siamese.
Female
Siamese
Investigation 4 255