Question

statement as an if-then statement.
4.
statement: all even numbers are composite.
if-then:
5.
statement: all points that lie in a plane are coplanar.
if-then:

Explanation:

Question 4

Step1: Identify the hypothesis and conclusion

The statement "All even numbers are composite" has the hypothesis (the "if" part) as "a number is even" and the conclusion (the "then" part) as "it is composite".

Step2: Form the if - then statement

Using the identified hypothesis and conclusion, we form the statement: If a number is even, then it is composite. (Note: This statement is not mathematically accurate in all cases as 2 is an even prime number, but this is just the translation of the given statement into an if - then form.)

Question 5

Step1: Identify the hypothesis and conclusion

For the statement "All points that lie in a plane are coplanar", the hypothesis is "a point lies in a plane" and the conclusion is "it is coplanar".

Step2: Form the if - then statement

Using the hypothesis and conclusion, we create the if - then statement: If a point lies in a plane, then it is coplanar.

Answer:

If a number is even, then it is composite.