Final answer:
To solve and graph the inequality x + 3 < -6, solve for x to get x < -9, then graph an open circle at -9 and shade left on the number line to represent all numbers less than -9.
Step-by-step explanation:
To graph the solution to the inequality x + 3 < -6, first solve for x by subtracting 3 from both sides of the inequality:
x + 3 - 3 < -6 - 3
x < -9
This means that x can be any number less than -9. When graphing this on a number line, you draw an open circle at -9 to indicate that -9 is not included in the solution.
From this open circle, you shade to the left, indicating all numbers less than -9 are part of the solution.