Question

Which Quadrants contain the solution to this system of inequalities y≥1/-3x+3 and y>3/4x-1?

Answer 1

Solving system of linear equations:
(1) `y >= - x/2 + 3`
(2) `y > (3x /4) - 1`

Ans: Quadrant I and II

Explanation:

First graph the Line y1 -> `y = - x/4 + 3.`
The solution set of inequality (1) is the area above this line. Color it
Next, graph the Line 2 -->`y = (3x)/4 - 1.`
The solution set of inequality (2) is the area above this Line 2.
Color it.
The compound solution set is the commonly shared area. It is located in Quadrant I and II.
Note. Because of the sign (=), the Line 1 is included in the solution set of inequality (1).