SOLUTION: I do not understand how to solve the compound inequality. Then graph the solution set. The problem d-4>3 or d-4≤1

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Question 179404This question is from textbook Algebra 1
: I do not understand how to solve the compound inequality. Then graph the solution set.
The problem
d-4>3 or d-4≤1 This question is from textbook Algebra 1

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
d-4%3E3 and d-4%3C=+1
The first step is get both equations with the variable isolated.
d-4%3E3
d+%3E+7
d-4%3C=+1
d+%3C=+5
Now plot the two solution sets on the number line.
Draw a number line.
Draw an open circle at the number 7 (open because the equation d+%3E+7 does not not include the number 7. It only includes all numbers greater than 7.
Darken the number line to the right of the open circle at 7
On the same number line, draw a second circle at 5. Make this circle a 'filled in one'. Filled in because d+%3C=5 does include the point at 5. Now darken in the number line to the left (less than) 5.
There you go!
Make better sense now?