How would you use deductive reasoning to prove the conjecture that the sum of two odd integers is even??

Pls! does anybody know a shortcut for answering these types of questions in the future?

How do the number line graphs of the solutions sets of -23 > x and x-23 differ?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)