Which of the following number lines represents the solution set of the inequality -x + 4 < 3? (image is attached)

Let's solve your inequality step-by-step.
[tex]\frac{-1}{3}x+4<3[/tex]
Step 1: Subtract 4 from both sides.
[tex]\frac{-1}{3} x[/tex] [tex]+ 4 - 4 < 3 -4[/tex]
[tex]\frac{-1}{3}x <-1[/tex]
Step 2: Multiply both sides by 3/(-1).
[tex](\frac{-1}{3})*(\frac{-1}{3}x)<(\frac{-1}{3}) *(-1)[/tex]
And... here's your answer!
[tex]x < -3[/tex] (Bubble C)