Answer: All numbers less than, but not including, 6.6.
Step-by-step explanation:
The question is asking "What are the possible values of x that would make the inequality 5x+12 always less than 45?" We can solve for x to find the answer.
[I'm not sure where "45 - 12 = 33" comes from. I'll assume it was meant to read 5x < 33]
5x + 12 < 45
5x < 33
x < 6.6
The number line would have a circle (not a dot) at 6.6 and extend to the line to negative infinity. The circle at 6.6 means that the line does not include 6.6, but everything else smaller than that (including 6.59999999999 . . .). I'd draw the line here, but my keyboard balked when I said go to infinity and beyond. Just put an arrow pointing to the left of where your line stops.
