In this lesson we will practice solving multi-step inequalities and then graph the solution on a number line.

Let's look at an example....
8x + 13 > 4x + 5
8x > 4x - 8
(add -13 to both sides)
4x > -8
(add -4x to both sides)
x > -2
(divide both sides by -4)

Now let's look at how this would be graphed...
The rules for graphing on a number line are as follows:

• the arrow points in the same direction as the inequality sign

• use an "open" circle if the inequality is < or >

• use a "closed" circle  if the inequality is ≤ or ≥
  So for this example...
  x > -2
  The graph will be an "open" circle at -2
  and the arrow will point to the right.
   

Let's look at another example...

9a - 10 ≤ 3a + 14
9a ≤ 3a + 24
(add +10 to both sides)
6a ≤ 24
(add -3a to both sides))
a ≤ 4
(divide both sides by 6)

Now let's graph the solution....
The graph should have a "closed" circle on 4
and the arrow should point to the left....
 

For Practice On Your Own...

CLICK HERE