Question

How would you graph the solution set of x - 6 < -3?

Draw an open circle on 3 and shade to the left.

Draw a closed circle on 3 and shade to the left.

Draw a closed circle on -9 and shade to the left.

Draw an open circle on -9 and shade to the left.

Answer 1

Draw an open circle on 3 and shade to the left.

Explanation:

Given:

The inequality given is:

`x-6<-3`

In order to solve for 'x', we add 6 on both sides of the inequality. This gives,

`x-6+6<-3+6\\\\x<3`

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.