Answer:
(d) see attached
Explanation:
There are a couple of quick checks you can do to identify the correct graph.
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shading and line style
Find a variable with a positive coefficient, and write that in the given relation to the inequality symbol:
x >
This tells you ...
- shading is to the right of the line (where x-values are greater)
- the line is dashed (the = case is not included)
location of the line
The x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...
2x = 6
x = 3
The boundary line you're looking for has an x-intercept at x=3.
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The correct graph is shown in the attachment.