Question

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

A.Draw an open circle on -9 and shade to the left.
B.Draw a closed circle on -9 and shade to the left.
C.Draw a closed circle on 3 and shade to the left.
D.Draw an open circle on 3 and shade to the left.
HELPP ME THIS IS THE LAST QUESTION!!!!!!!!!!!!!!!!!!!!!!

Answer 1

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

Explanation:

we have

`x-6 < -3`

Solve for x

Adds 6 both sides

`x< -3+6`

`x< 3`

The solution is the interval (-∞,3)

All real numbers less than 3

In a number line the solution is the shaded area at left of x=3 (open circle)

The number 3 is not included in the solution

therefore

Draw an open circle on 3 and shade to the left