_7. If x > 0, then x² > 0. It holds that x< 0. Therefore, x? < 0. _8. It is not the case that x is an odd number and y is a prime number. Furthermore, x is not an odd number. Therefore, y is a prime number.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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Determine whether each of the following arguments is valid.

Please answer 1-2 sub-units thank you!

7. If x > 0, then x? > 0. It holds that x < 0. Therefore, x² < 0.
8. It is not the case that x is an odd number and y is a prime number. Furthermore, x is not an
odd number. Therefore, y is a prime number.
Transcribed Image Text:7. If x > 0, then x? > 0. It holds that x < 0. Therefore, x² < 0. 8. It is not the case that x is an odd number and y is a prime number. Furthermore, x is not an odd number. Therefore, y is a prime number.
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