Answer:
Draw an open circle on 3 and shade to the left.
Step-by-step explanation:
Given:
The inequality given is:
[tex]x-6<-3[/tex]
In order to solve for 'x', we add 6 on both sides of the inequality. This gives,
[tex]x-6+6<-3+6\\\\x<3[/tex]
Therefore, the solution is 'x' less than 3.
So, 'x' includes all the values that are less than 3 and excluding 3 as the inequality sign is less than.
So, on a number line, the values that are less than 3 are to the left of 3. So, we shade to the left. Also, 3 is excluded from the solution. So, we use an open circle as shown below.
So, the first option is the correct option.
