Which graph represents the system of inequalities x + y is less than 3 and 2x - Y is greater than 11
The correct graph would be Graph D.
Explanation:
The first inequality, x + y < 3, is a line with a y-intercept of 3 and a slope of -1.
The second inequality, 2x - y > 11, is a line with a y-intercept of -11 and a slope of 2.
Graph D is the only graph that shows the shaded region below the line x + y = 3 and above the line 2x - y = 11, which represents the solution to the system of inequalities.