Final answer:
Solve the inequality 3 < x - 5 by adding 5 to both sides, resulting in 8 < x. Graph the solution on a number line with an open circle at 8 and an arrow pointing to the right.
Step-by-step explanation:
To solve for x in the inequality 3 < x - 5, you first need to isolate x on one side. Begin by adding 5 to both sides of the inequality:
3 + 5 < x - 5 + 5
This simplifies to:
8 < x
Which means that x is any number greater than 8. To graph this solution on a number line, you would draw a line with an open circle at 8 (because 8 is not included in the solution) and an arrow extending to the right (indicating all the numbers greater than 8).
Note: The provided information about the slope and algebra of straight lines refers to linear equations and graphing lines, which is different from solving and graphing inequalities. Therefore, those details are not directly applicable to solving the inequality in question.