Question

The solution set of 3x+4y<0 lies in which quadrant?

Answer 1

First solve for y:

$y \ \textless \ -\frac{3}{4} x$

Next graph the line....down 3, over 4...

The line should go through the 2nd and 4th quadrant.

The inequality is 'less than', so the solution is everything below the line.

Therefore the solution set lies in part of quadrant 2, all of quadrant 3, and part of quadrant 4.