Question

Need someone to check my answers for a conditional statement, converse, and contrapositive statement!
MEDAL!!!

Answer 1

Statement: If x = 1, then \(x^2\) = x.

a. Is it true?
`Yes because if you have (1)^2 = 1 x 1 = 1`

Answer 2

b. Now state the converse. Is this true? Explain. Draw a picture if necessary.

If x^2 = x, then x = 1.
False because x can not only equal to 1, but it can also equal to 0.
Work: 0^2 = 0 x 0 = 0

Answer 3

c. Write the contra-positive statement.

If x doesn't equal to 1, then x^2 doesn't equal to x.

Answer 4

Are all of my answers correct?

Answer 5

I agree with your answers.

Answer 6

Thank you!