Question

Which is the graph of 2x - 4y > 6?

Answer 1

Answer:

  (d)  see attached

Step-by-step explanation:

There are a couple of quick checks you can do to identify the correct graph.

__

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.

__

The correct graph is shown in the attachment.