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

1 Answer
Nghi N.
Sep 2, 2015

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).

Related questions
See all questions in Linear Inequalities in Two Variables
Impact of this question
15052 views around the world
You can reuse this answer
Creative Commons License