Question

for each statement in 6-10, write a counterexample that disproves the statement.

1. mary enters her home and her clothes are wet. therefore, it is raining outside.
2. if a number is multiplied to another number, it will result in a larger number.
3. if a figure has four sides and all sides have the same length, it is a square.
4. if a number is prime, then it is an odd number.
5. yvette lives in jacksonville. therefore, she lives in florida.

Explanation:

Question 6

We need a situation where Mary's clothes are wet but it's not raining. Spilling a drink is a valid reason for wet clothes without rain.

Question 7

Step1: Choose numbers to multiply

We pick 5 and 0.

Step2: Perform the multiplication

Calculate \(5\times0\), which equals 0.

Step3: Compare the result

Compare 0 with 5, and we see that \(0 < 5\), so the product is not larger than the original number 5.

Question 8

A square requires four equal sides and four right angles. A rhombus has four equal sides but may have non - right angles, so it serves as a counterexample.

Question 9

Answer:

Mary's clothes are wet because she spilled a drink on herself, and it is not raining outside.