23 **Transcription for Educational Use**---In Exercises 1–6, describe the pattern. Then write or draw the next two numbers, letters, or figures. *(See Example 1.)*1. \(1, 2, -3, -4, 5, \ldots\)2. \(0, 2, 0, 6, 2, 10, 4, \ldots\)3. \(Y, X, W, V, \ldots\)4. \(A, D, G, J, M, \ldots\)*[Figures of shapes listed, labeled with numbers 5 and 6]*In Exercises 7–10, make and test a conjecture about the given quantity. *(See Example 2.)*7. the sum of an even integer and an odd integer8. the product of any two even integers9. the quotient of a number and its reciprocal10. the quotient of two negative integersIn Exercises 11–14, find a counterexample to show that the conjecture is false. *(See Example 3.)*11. The product of two positive numbers is always greater than either number.12. If \(n\) is a nonzero integer, then \(\frac{n+1}{n}\) is always greater than 1.13. If two angles are supplements of each other, then one of the angles must be acute.14. A line is divided into two line segments. So, the line is a segment bisector of \( \overline{MN}. \)In Exercises 15–18, use the Law of Detachment to determine what you can conclude from the given information, if possible. *(See Example 4.)*15. If you download a GIF, then your device crashes. You downloaded a GIF.16. If you eat pizza, then you will go to the gym. You did not go to the gym.17. If a quadrilateral is a square, then it has four right angles. Quadrilateral \(QRST\) has four right angles.18. If a point divides a line segment into two congruent line segments, then the point is a midpoint. Point \(P\) divides \( \overline{FH} \) into two congruent line segments.In Exercises 19–22, use the Law of Syllogism to write a new conditional

23. given statementIf you do your homework, then you can watch TV. If you watch TV, then you can…

Answered: 23. If you do your homework, then you…

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT