The solution set of 3x-4y0 lies in which quadrants?
a. I only,
b. I and II,
c. I, II, and III,
d. I, III, and IV,
e. I, II, III, and IV

Question

The solution set of 3x-4y>0 lies in which quadrants?
a. I only, 
b. I and II, 
c. I, II, and III, 
d. I, III, and IV,
 e. I, II, III, and IV

zehanz · Answer

This set is bounded by the line 3x-4y=0, or 3x=4y, or y=4/3 x. The origin is on this line.
Its slope is 4/3. 
Now you know through which quadrants this line passes (make a drawing!)
Next, try a point that is not on the line to see on which side of the line the solution lies.
Once you know that, you will know the quadrants!

zehanz · Answer

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In any case, the solution lies in three different quadrants, so a, b and e are wrong...