Question

1. write a conditional statement that is biconditional. 10. write a conditional statement that is not biconditional.

Explanation:

A biconditional statement is a statement that is true when both the conditional statement and its converse are true. For a non - biconditional conditional statement, the converse is false.
For the biconditional, we create a statement where the condition and conclusion are equivalent. For the non - biconditional, we create a statement where the converse is not true.

9.

A number is even if and only if it is divisible by 2. This is biconditional because if a number is even, it is divisible by 2 (conditional is true), and if a number is divisible by 2, it is even (converse is true).

10.

If a shape is a rectangle, then it has four sides. This is not biconditional because while all rectangles have four sides (conditional is true), not all four - sided shapes are rectangles (converse is false).

Answer:

1. A number is even if and only if it is divisible by 2.
2. If a shape is a rectangle, then it has four sides.