The inequality "x + 9 < 12" is solved as "x < 3". Graphically, this is represented by an open circle at 3 on the number line, with shading to the left.
To solve the inequality "x + 9 < 12", we can isolate x by subtracting 9 from both sides:
x + 9 - 9 < 12 - 9
Simplifying:
x < 3
So, the solution to the inequality is x < 3. Graphically, this represents all real numbers less than 3 on the number line, excluding 3 itself.
If we were to represent this solution on a number line, we would plot an open circle at 3 (indicating that 3 is not included in the solution), and then shade to the left of 3 to represent all the values less than 3.
In summary, the solution to the inequality "x + 9 < 12" is x < 3, and graphically, this is represented by an open circle at 3 on the number line, with shading to the left.