Q:

graph shows the solution to the following inequality 40 - 6 is less than 18

Accepted Solution

A:
Step 1) Add 6 to both sides
Step 2) Divide both sides by 4

Following those steps above, you'll have this
4d - 6 < 18
4d - 6 + 6 < 18 + 6 .... applying step 1
4d + 0 < 24
4d < 24
4d/4 < 24/4 .... applying step 2
d < 6

So d can be any number that is less than 6. To graph this, we draw a number line, plot an open circle at 6 and shade to the left of the open circle. The open circle indicates to exclude the endpoint. The graph I'm describing is choice D

Answer: Choice D