Question

Solve the given inequality and represent its solution on a number line
18 - 6x > -12

Answer 1

Is the circle shaded or open

Answer 2

To solve the given inequality:

18 - 6x > -12

First, we need to isolate the variable x by subtracting 18 from both sides:

-6x > -12 - 18
-6x > -30

Then, divide both sides by -6. Remember that when dividing by a negative number, the direction of the inequality sign will flip:

x < 5

So, the solution to the inequality is x < 5.

To represent this solution on a number line, draw a circle at the number 5 and shade to the left of it to symbolize all the values of x that are less than 5.

Answer 3

Since the inequality is x < 5, the circle should be open at the number 5 to indicate that 5 is not included in the solution set. Then shade to the left of the open circle to represent all the values less than 5.