Question

Which number line represents the solution to 5 x < 30?

Answer 1

C
5x < 30
Divide each side by 5 to find x
x < 6
The number line needs to show the x represents any number less than 6 (3, 5.5, -1, etc)
C is correct because there is an open circle around 6, and then an arrow pointing towards numbers smaller than 6.

If x is less then or equal to six, you draw a filled in circle around six to show that x can be 6.
Because x is less than 6 and not equal to 6, you draw an open circle to represent x can get very close to 6 (ex. 5.9, 5.999) but cannot equal 6.

The line has to be pointing leftwards because the numbers are less then six in that direction. X can be any number smaller than 6, which is how by the leftward arrow